v3.26.1
Expense Example
Jul. 29, 2026
USD ($)
DEFENSIVE STRATEGY FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY FUND | SAAT DEFENSIVE STRATEGY FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year $ 112
Expense Example, with Redemption, 3 Years 350
Expense Example, with Redemption, 5 Years 606
Expense Example, with Redemption, 10 Years 1,340
DEFENSIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY ALLOCATION FUND | SAAT DEFENSIVE STRATEGY ALLOCATION FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 98
Expense Example, with Redemption, 3 Years 306
Expense Example, with Redemption, 5 Years 531
Expense Example, with Redemption, 10 Years 1,178
CONSERVATIVE STRATEGY FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY FUND | SAAT CONSERVATIVE STRATEGY FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 117
Expense Example, with Redemption, 3 Years 365
Expense Example, with Redemption, 5 Years 633
Expense Example, with Redemption, 10 Years 1,398
CONSERVATIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY ALLOCATION FUND | SAAT CONSERVATIVE STRATEGY ALLOCATION FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 128
Expense Example, with Redemption, 3 Years 400
Expense Example, with Redemption, 5 Years 692
Expense Example, with Redemption, 10 Years 1,523
MODERATE STRATEGY FUND - Class F Prospectus | SAAT MODERATE STRATEGY FUND | SAAT MODERATE STRATEGY FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 126
Expense Example, with Redemption, 3 Years 393
Expense Example, with Redemption, 5 Years 681
Expense Example, with Redemption, 10 Years 1,500
MODERATE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT MODERATE STRATEGY ALLOCATION FUND | SAAT MODERATE STRATEGY ALLOCATION FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 129
Expense Example, with Redemption, 3 Years 403
Expense Example, with Redemption, 5 Years 697
Expense Example, with Redemption, 10 Years 1,534
AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT AGGRESSIVE STRATEGY FUND | SAAT AGGRESSIVE STRATEGY FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 120
Expense Example, with Redemption, 3 Years 375
Expense Example, with Redemption, 5 Years 649
Expense Example, with Redemption, 10 Years 1,432
TAX-MANAGED AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT TAX-MANAGED AGGRESSIVE STRATEGY FUND | SAAT TAX-MANAGED AGGRESSIVE STRATEGY FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 139
Expense Example, with Redemption, 3 Years 434
Expense Example, with Redemption, 5 Years 750
Expense Example, with Redemption, 10 Years 1,646
CORE MARKET STRATEGY FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY FUND | SAAT CORE MARKET STRATEGY FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 127
Expense Example, with Redemption, 3 Years 397
Expense Example, with Redemption, 5 Years 686
Expense Example, with Redemption, 10 Years 1,511
CORE MARKET STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY ALLOCATION FUND | SAAT CORE MARKET STRATEGY ALLOCATION FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 140
Expense Example, with Redemption, 3 Years 437
Expense Example, with Redemption, 5 Years 755
Expense Example, with Redemption, 10 Years 1,657
MARKET GROWTH STRATEGY FUND - Class F Prospectus | SAAT MARKET GROWTH STRATEGY FUND | SAAT MARKET GROWTH STRATEGY FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 126
Expense Example, with Redemption, 3 Years 393
Expense Example, with Redemption, 5 Years 681
Expense Example, with Redemption, 10 Years 1,500
MARKET GROWTH STRATEGY ALLOCATION FUND -Class F Prospectus | SAAT MARKET GROWTH STRATEGY ALLOCATION FUND | SAAT MARKET GROWTH STRATEGY ALLOCATION FUND - CLASS F  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 139
Expense Example, with Redemption, 3 Years 434
Expense Example, with Redemption, 5 Years 750
Expense Example, with Redemption, 10 Years 1,646
DEFENSIVE STRATEGY FUND - Class D Prospectus | SAAT DEFENSIVE STRATEGY FUND | SAAT DEFENSIVE STRATEGY FUND - CLASS D  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 188
Expense Example, with Redemption, 3 Years 582
Expense Example, with Redemption, 5 Years 1,001
Expense Example, with Redemption, 10 Years 2,169
CONSERVATIVE STRATEGY FUND - Class D Prospectus | SAAT CONSERVATIVE STRATEGY FUND | SAAT CONSERVATIVE STRATEGY FUND - CLASS D  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 193
Expense Example, with Redemption, 3 Years 597
Expense Example, with Redemption, 5 Years 1,026
Expense Example, with Redemption, 10 Years 2,222
MODERATE STRATEGY FUND - Class D Prospectus | SAAT MODERATE STRATEGY FUND | SAAT MODERATE STRATEGY FUND - CLASS D  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 202
Expense Example, with Redemption, 3 Years 624
Expense Example, with Redemption, 5 Years 1,073
Expense Example, with Redemption, 10 Years 2,317
AGGRESSIVE STRATEGY FUND - Class D Prospectus | SAAT AGGRESSIVE STRATEGY FUND | SAAT AGGRESSIVE STRATEGY FUND - CLASS D  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 196
Expense Example, with Redemption, 3 Years 606
Expense Example, with Redemption, 5 Years 1,042
Expense Example, with Redemption, 10 Years 2,254
CORE MARKET STRATEGY FUND - Class D Prospectus | SAAT CORE MARKET STRATEGY FUND | SAAT CORE MARKET STRATEGY FUND - CLASS D  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 203
Expense Example, with Redemption, 3 Years 627
Expense Example, with Redemption, 5 Years 1,078
Expense Example, with Redemption, 10 Years 2,327
MARKET GROWTH STRATEGY FUND - Class D Prospectus | SAAT MARKET GROWTH STRATEGY FUND | SAAT MARKET GROWTH STRATEGY FUND - CLASS D  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 202
Expense Example, with Redemption, 3 Years 624
Expense Example, with Redemption, 5 Years 1,073
Expense Example, with Redemption, 10 Years 2,317
DEFENSIVE STRATEGY FUND - Class I Prospectus | SAAT DEFENSIVE STRATEGY FUND | SAAT DEFENSIVE STRATEGY FUND - CLASS I  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 137
Expense Example, with Redemption, 3 Years 428
Expense Example, with Redemption, 5 Years 739
Expense Example, with Redemption, 10 Years 1,624
CONSERVATIVE STRATEGY FUND - Class I Prospectus | SAAT CONSERVATIVE STRATEGY FUND | SAAT CONSERVATIVE STRATEGY FUND - CLASS I  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 143
Expense Example, with Redemption, 3 Years 443
Expense Example, with Redemption, 5 Years 766
Expense Example, with Redemption, 10 Years 1,680
MODERATE STRATEGY FUND - Class I Prospectus | SAAT MODERATE STRATEGY FUND | SAAT MODERATE STRATEGY FUND - CLASS I  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 152
Expense Example, with Redemption, 3 Years 471
Expense Example, with Redemption, 5 Years 813
Expense Example, with Redemption, 10 Years 1,779
AGGRESSIVE STRATEGY FUND - Class I Prospectus | SAAT AGGRESSIVE STRATEGY FUND | SAAT AGGRESSIVE STRATEGY FUND - CLASS I  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 146
Expense Example, with Redemption, 3 Years 452
Expense Example, with Redemption, 5 Years 782
Expense Example, with Redemption, 10 Years 1,713
CORE MARKET STRATEGY FUND - Class I Prospectus | SAAT CORE MARKET STRATEGY FUND | SAAT CORE MARKET STRATEGY FUND - CLASS I  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 153
Expense Example, with Redemption, 3 Years 474
Expense Example, with Redemption, 5 Years 818
Expense Example, with Redemption, 10 Years 1,791
MARKET GROWTH STRATEGY FUND - Class I Prospectus | SAAT MARKET GROWTH STRATEGY FUND | SAAT MARKET GROWTH STRATEGY FUND - CLASS I  
Prospectus [Line Items]  
Expense Example, with Redemption, 1 Year 152
Expense Example, with Redemption, 3 Years 471
Expense Example, with Redemption, 5 Years 813
Expense Example, with Redemption, 10 Years $ 1,779