v3.25.2
Fees and Expenses
Jul. 29, 2025
DEFENSIVE STRATEGY FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Defensive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.47

%

 

Total Annual Fund Operating Expenses

   

1.12

%

 

​ Because the Defensive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Defensive Strategy Fund — Class F Shares

 

$

114

   

$

356

   

$

617

   

$

1,363

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 15% of the average value of its portfolio.

Portfolio Turnover, Rate 15.00%
DEFENSIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY ALLOCATION FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Defensive Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.28

%

 

Total Annual Fund Operating Expenses

   

0.93

%

 

​ Because the Defensive Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Defensive Strategy Allocation Fund — Class F Shares

 

$

95

   

$

296

   

$

515

   

$

1,143

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 17% of the average value of its portfolio.

Portfolio Turnover, Rate 17.00%
CONSERVATIVE STRATEGY FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Conservative Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.56

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.54

%

 

Total Annual Fund Operating Expenses

   

1.20

%

 

​ Because the Conservative Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Conservative Strategy Fund — Class F Shares

 

$

122

   

$

381

   

$

660

   

$

1,455

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 13% of the average value of its portfolio.

Portfolio Turnover, Rate 13.00%
CONSERVATIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY ALLOCATION FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Conservative Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.59

%

 

Total Annual Fund Operating Expenses

   

1.24

%

 

​ Because the Conservative Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Conservative Strategy Allocation Fund — Class F Shares

 

$

126

   

$

393

   

$

681

   

$

1,500

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 14% of the average value of its portfolio.

Portfolio Turnover, Rate 14.00%
MODERATE STRATEGY FUND - Class F Prospectus | SAAT MODERATE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Moderate Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.64

%

 

Total Annual Fund Operating Expenses

   

1.29

%

 

​ Because the Moderate Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Moderate Strategy Fund — Class F Shares

 

$

131

   

$

409

   

$

708

   

$

1,556

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 19% of the average value of its portfolio.

Portfolio Turnover, Rate 19.00%
MODERATE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT MODERATE STRATEGY ALLOCATION FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Moderate Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.60

%

 

Total Annual Fund Operating Expenses

   

1.25

%

 

​ Because the Moderate Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Moderate Strategy Allocation Fund — Class F Shares

 

$

127

   

$

397

   

$

686

   

$

1,511

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 13% of the average value of its portfolio.

Portfolio Turnover, Rate 13.00%
AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT AGGRESSIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.59

%

 

Total Annual Fund Operating Expenses

   

1.24

%

 

​ Because the Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Aggressive Strategy Fund — Class F Shares

 

$

126

   

$

393

   

$

681

   

$

1,500

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 45% of the average value of its portfolio.

Portfolio Turnover, Rate 45.00%
TAX-MANAGED AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT TAX-MANAGED AGGRESSIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Tax-Managed Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.72

%

 

Total Annual Fund Operating Expenses

   

1.37

%

 

​ Because the Tax-Managed Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Tax-Managed Aggressive Strategy Fund — Class F Shares

 

$

139

   

$

434

   

$

750

   

$

1,646

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 6% of the average value of its portfolio.

Portfolio Turnover, Rate 6.00%
CORE MARKET STRATEGY FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Core Market Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.70

%

 

Total Annual Fund Operating Expenses

   

1.35

%

 

​ Because the Core Market Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Core Market Strategy Fund — Class F Shares

 

$

137

   

$

428

   

$

739

   

$

1,624

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 27% of the average value of its portfolio.

Portfolio Turnover, Rate 27.00%
CORE MARKET STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY ALLOCATION FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Core Market Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.72

%

 

Total Annual Fund Operating Expenses

   

1.37

%

 

​ Because the Core Market Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Core Market Strategy Allocation Fund — Class F Shares

 

$

139

   

$

434

   

$

750

   

$

1,646

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 13% of the average value of its portfolio.

Portfolio Turnover, Rate 13.00%
MARKET GROWTH STRATEGY FUND - Class F Prospectus | SAAT MARKET GROWTH STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Market Growth Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees*

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses*

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.69

%

 

Total Annual Fund Operating Expenses

   

1.34

%

 

​ Because the Market Growth Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Market Growth Strategy Fund — Class F Shares

 

$

136

   

$

425

   

$

734

   

$

1,613

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 35% of the average value of its portfolio.

Portfolio Turnover, Rate 35.00%
MARKET GROWTH STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT MARKET GROWTH STRATEGY ALLOCATION FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Market Growth Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class F Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.72

%

 

Total Annual Fund Operating Expenses

   

1.37

%

 

​ Because the Market Growth Strategy Allocation Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Market Growth Strategy Allocation Fund — Class F Shares

 

$

139

   

$

434

   

$

750

   

$

1,646

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 9% of the average value of its portfolio.

Portfolio Turnover, Rate 9.00%
DEFENSIVE STRATEGY FUND - Class D Prospectus | SAAT DEFENSIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Defensive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class D Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

0.75

%

 

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.47

%

 

Total Annual Fund Operating Expenses

   

1.87

%

 

​ Because the Defensive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Defensive Strategy Fund — Class D Shares

 

$

190

   

$

588

   

$

1,011

   

$

2,190

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 15% of the average value of its portfolio.

Portfolio Turnover, Rate 15.00%
CONSERVATIVE STRATEGY FUND - Class D Prospectus | SAAT CONSERVATIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Conservative Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class D Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

0.75

%

 

Other Expenses

   

0.56

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.54

%

 

Total Annual Fund Operating Expenses

   

1.95

%

 

​ Because the Conservative Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Conservative Strategy Fund — Class D Shares

 

$

198

   

$

612

   

$

1,052

   

$

2,275

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 13% of the average value of its portfolio.

Portfolio Turnover, Rate 13.00%
MODERATE STRATEGY FUND - Class D Prospectus | SAAT MODERATE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Moderate Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class D Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

0.75

%

 

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.64

%

 

Total Annual Fund Operating Expenses

   

2.04

%

 

​ Because the Moderate Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Moderate Strategy Fund — Class D Shares

 

$

207

   

$

640

   

$

1,098

   

$

2,369

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 19% of the average value of its portfolio.

Portfolio Turnover, Rate 19.00%
AGGRESSIVE STRATEGY FUND - Class D Prospectus | SAAT AGGRESSIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class D Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

0.75

%

 

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.59

%

 

Total Annual Fund Operating Expenses

   

1.99

%

 

​ Because the Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Aggressive Strategy Fund — Class D Shares

 

$

202

   

$

624

   

$

1,073

   

$

2,317

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 45% of the average value of its portfolio.

Portfolio Turnover, Rate 45.00%
CORE MARKET STRATEGY FUND - Class D Prospectus | SAAT CORE MARKET STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Core Market Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class D Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

0.75

%

 

Other Expenses

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.70

%

 

Total Annual Fund Operating Expenses

   

2.10

%

 

​ Because the Core Market Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Core Market Strategy Fund — Class D Shares

 

$

213

   

$

658

   

$

1,129

   

$

2,431

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 27% of the average value of its portfolio.

Portfolio Turnover, Rate 27.00%
MARKET GROWTH STRATEGY FUND - Class D Prospectus | SAAT MARKET GROWTH STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Market Growth Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class D Shares

 

Management Fees*

   

0.10

%

 

Distribution (12b-1) Fees

   

0.75

%

 

Other Expenses*

   

0.55

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.69

%

 

Total Annual Fund Operating Expenses

   

2.09

%

 

​ Because the Market Growth Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Market Growth Strategy Fund — Class D Shares

 

$

212

   

$

655

   

$

1,124

   

$

2,421

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 35% of the average value of its portfolio.

Portfolio Turnover, Rate 35.00%
DEFENSIVE STRATEGY FUND - Class I Prospectus | SAAT DEFENSIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Defensive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class I Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.80

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.47

%

 

Total Annual Fund Operating Expenses

   

1.37

%

 

​ Because the Defensive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Defensive Strategy Fund — Class I Shares

 

$

139

   

$

434

   

$

750

   

$

1,646

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 15% of the average value of its portfolio.

Portfolio Turnover, Rate 15.00%
CONSERVATIVE STRATEGY FUND - Class I Prospectus | SAAT CONSERVATIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Conservative Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class I Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.81

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.54

%

 

Total Annual Fund Operating Expenses

   

1.45

%

 

​ Because the Conservative Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Conservative Strategy Fund — Class I Shares

 

$

148

   

$

459

   

$

792

   

$

1,735

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 13% of the average value of its portfolio.

Portfolio Turnover, Rate 13.00%
MODERATE STRATEGY FUND - Class I Prospectus | SAAT MODERATE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Moderate Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class I Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.80

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.64

%

 

Total Annual Fund Operating Expenses

   

1.54

%

 

​ Because the Moderate Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Moderate Strategy Fund — Class I Shares

 

$

157

   

$

486

   

$

839

   

$

1,834

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 19% of the average value of its portfolio.

Portfolio Turnover, Rate 19.00%
AGGRESSIVE STRATEGY FUND - Class I Prospectus | SAAT AGGRESSIVE STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class I Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.80

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.59

%

 

Total Annual Fund Operating Expenses

   

1.49

%

 

​ Because the Aggressive Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Aggressive Strategy Fund — Class I Shares

 

$

152

   

$

471

   

$

813

   

$

1,779

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 45% of the average value of its portfolio.

Portfolio Turnover, Rate 45.00%
CORE MARKET STRATEGY FUND - Class I Prospectus | SAAT CORE MARKET STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] The operating expenses in this fee table will not correlate to the expense ratio in the financial statements for the Core Market Strategy Fund (Fund). The financial statements include direct operating expenses incurred by the Fund. Due to the de minimis asset levels of Class I during the most recent fiscal year, the expenses in this table are estimates, based on expenses incurred by the Fund's other share classes, as adjusted for Class I expenses. In addition, the fee table includes AFFE for the most recent fiscal year, but the financial statements do not include the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class I Shares

 

Management Fees

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses

   

0.80

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.70

%

 

Total Annual Fund Operating Expenses

   

1.60

%

 

​ The operating expenses in this fee table will not correlate to the expense ratio in the financial statements for the Core Market Strategy Fund (Fund). The financial statements include direct operating expenses incurred by the Fund. Due to the de minimis asset levels of Class I during the most recent fiscal year, the expenses in this table are estimates, based on expenses incurred by the Fund's other share classes, as adjusted for Class I expenses. In addition, the fee table includes AFFE for the most recent fiscal year, but the financial statements do not include the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Core Market Strategy Fund — Class I Shares

 

$

163

   

$

505

   

$

871

   

$

1,900

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 27% of the average value of its portfolio.

Portfolio Turnover, Rate 27.00%
MARKET GROWTH STRATEGY FUND - Class I Prospectus | SAAT MARKET GROWTH STRATEGY FUND  
Prospectus [Line Items]  
Expense Heading [Optional Text] Fees and Expenses
Expense Narrative [Text Block]

This table describes the fees and expenses that you may pay if you buy, hold, and sell Fund shares. You may pay other fees, such as brokerage commissions and other fees to financial intermediaries, which are not reflected in this table and examples below.

Expenses Not Correlated to Ratio Due to Acquired Fund Fees [Text] Because the Market Growth Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.
Operating Expenses Caption [Optional Text] ANNUAL FUND OPERATING EXPENSES (expenses that you pay each year as a percentage of the value of your investment)
Annual Fund Operating Expenses [Table]

(expenses that you pay each year as a percentage of the value of your investment)

 

Class I Shares

 

Management Fees*

   

0.10

%

 

Distribution (12b-1) Fees

   

None

   

Other Expenses*

   

0.80

%

 

Acquired Fund Fees and Expenses (AFFE)

   

0.69

%

 

Total Annual Fund Operating Expenses

   

1.59

%

 

​ Because the Market Growth Strategy Fund (Fund) incurred AFFE during the most recent fiscal year, the operating expenses in this fee table will not correlate to the expense ratio in the Fund's financial statements (or the "Financial Highlights" section in the prospectus) because the financial statements include only the direct operating expenses incurred by the Fund, not the indirect costs of investing in underlying funds.

Expense Example [Heading] EXAMPLE
Expense Example Narrative [Text Block]

This Example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The Example assumes that you invest $10,000 in the Fund for the time periods indicated and then redeem or hold all of your shares at the end of those periods. The Example also assumes that your investment has a 5% return each year and that the Fund's operating expenses remain the same.

Expense Example by, Year, Caption [Text] Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example, With Redemption [Table]
   

1 Year

 

3 Years

 

5 Years

 

10 Years

 

Market Growth Strategy Fund — Class I Shares

 

$

162

   

$

502

   

$

866

   

$

1,889

   
Portfolio Turnover [Heading] PORTFOLIO TURNOVER
Portfolio Turnover [Text Block]

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or "turns over" its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in annual Fund operating expenses or in the Example, affect the Fund's performance. During the most recent fiscal year, the Fund's portfolio turnover rate was 35% of the average value of its portfolio.

Portfolio Turnover, Rate 35.00%