v3.26.1
Average Annual Total Returns
 12 Months Ended 60 Months Ended 120 Months Ended 265 Months Ended
Jul. 29, 2026
Dec. 31, 2025
Dec. 31, 2025
Dec. 31, 2025
Dec. 31, 2025
DEFENSIVE STRATEGY FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   6.29% 3.01% 2.90% 2.49%
Performance Inception Date Nov. 17, 2003        
DEFENSIVE STRATEGY FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   4.97% 1.61% 1.83% 1.54%
DEFENSIVE STRATEGY FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   3.76% 1.74% 1.80% 1.56%
DEFENSIVE STRATEGY FUND - Class F Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
DEFENSIVE STRATEGY FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   6.96% 3.14% 3.10% 2.98%
DEFENSIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY ALLOCATION FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   4.46% 3.12% 3.02% 5.15%
Performance Inception Date Nov. 17, 2003        
DEFENSIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   2.59% 1.46% 1.16% 3.39%
DEFENSIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT DEFENSIVE STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   2.63% 1.66% 1.68% 3.45%
DEFENSIVE STRATEGY ALLOCATION FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   5.04% 3.47% 3.06% 2.79%
DEFENSIVE STRATEGY ALLOCATION FUND - Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
CONSERVATIVE STRATEGY FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   8.44% 3.62% 3.80% 3.44%
Performance Inception Date Nov. 17, 2003        
CONSERVATIVE STRATEGY FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   7.12% 2.15% 2.62% 2.32%
CONSERVATIVE STRATEGY FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   5.07% 2.21% 2.48% 2.26%
CONSERVATIVE STRATEGY FUND - Class F Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
CONSERVATIVE STRATEGY FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   9.23% 3.54% 4.05% 3.95%
CONSERVATIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY ALLOCATION FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   6.82% 6.37% 6.51% 7.13%
Performance Inception Date Nov. 17, 2003        
CONSERVATIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   4.06% 3.87% 3.96% 5.14%
CONSERVATIVE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CONSERVATIVE STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   4.83% 4.06% 4.24% 5.07%
CONSERVATIVE STRATEGY ALLOCATION FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   12.31% 9.30% 9.89% 8.02%
CONSERVATIVE STRATEGY ALLOCATION FUND - Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
MODERATE STRATEGY FUND - Class F Prospectus | SAAT MODERATE STRATEGY FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   11.45% 4.20% 4.93% 4.65%
Performance Inception Date Nov. 17, 2003        
MODERATE STRATEGY FUND - Class F Prospectus | SAAT MODERATE STRATEGY FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   10.15% 2.52% 3.58% 3.38%
MODERATE STRATEGY FUND - Class F Prospectus | SAAT MODERATE STRATEGY FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   6.90% 2.62% 3.35% 3.22%
MODERATE STRATEGY FUND - Class F Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
MODERATE STRATEGY FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   12.13% 4.50% 5.62% 5.30%
MODERATE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT MODERATE STRATEGY ALLOCATION FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   10.49% 7.88% 7.72% 7.51%
Performance Inception Date Nov. 17, 2003        
MODERATE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT MODERATE STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   6.42% 4.72% 5.09% 5.78%
MODERATE STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT MODERATE STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   8.23% 5.41% 5.45% 5.70%
MODERATE STRATEGY ALLOCATION FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   14.57% 10.58% 11.03% 8.70%
MODERATE STRATEGY ALLOCATION FUND - Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   22.03% 7.95% 8.75% 6.91%
Performance Inception Date Nov. 17, 2003        
AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   19.39% 5.60% 7.04% 5.58%
AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   14.40% 5.50% 6.51% 5.24%
AGGRESSIVE STRATEGY FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   19.59% 8.94% 10.20% 8.45%
AGGRESSIVE STRATEGY FUND - Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
TAX-MANAGED AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT TAX-MANAGED AGGRESSIVE STRATEGY FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   18.47% 9.83% 10.10% 8.15%
Performance Inception Date Nov. 17, 2003        
TAX-MANAGED AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT TAX-MANAGED AGGRESSIVE STRATEGY FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   15.50% 7.87% 8.70% 7.23%
TAX-MANAGED AGGRESSIVE STRATEGY FUND - Class F Prospectus | SAAT TAX-MANAGED AGGRESSIVE STRATEGY FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   12.58% 7.32% 7.91% 6.66%
TAX-MANAGED AGGRESSIVE STRATEGY FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   19.40% 13.16% 13.45% 10.22%
TAX-MANAGED AGGRESSIVE STRATEGY FUND - Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
CORE MARKET STRATEGY FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   15.11% 4.71% 6.11% 5.31%
Performance Inception Date Nov. 17, 2003        
CORE MARKET STRATEGY FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   13.81% 2.74% 4.37% 3.80%
CORE MARKET STRATEGY FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   9.06% 2.93% 4.19% 3.68%
CORE MARKET STRATEGY FUND - Class F Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
CORE MARKET STRATEGY FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   15.08% 5.39% 7.13% 6.61%
CORE MARKET STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY ALLOCATION FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   18.42% 9.80% 10.07% 7.77%
Performance Inception Date Nov. 17, 2003        
CORE MARKET STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   13.98% 7.01% 8.12% 6.55%
CORE MARKET STRATEGY ALLOCATION FUND - Class F Prospectus | SAAT CORE MARKET STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   13.64% 7.22% 7.80% 6.24%
CORE MARKET STRATEGY ALLOCATION FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   18.92% 12.67% 13.04% 10.03%
CORE MARKET STRATEGY ALLOCATION FUND - Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
MARKET GROWTH STRATEGY FUND - Class F Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   17.72% 6.21% 7.20% 5.88%
Performance Inception Date Nov. 17, 2003        
MARKET GROWTH STRATEGY FUND - Class F Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   15.89% 4.01% 5.55% 4.49%
MARKET GROWTH STRATEGY FUND - Class F Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   10.92% 4.08% 5.15% 4.26%
MARKET GROWTH STRATEGY FUND - Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   16.81% 6.49% 8.07% 7.19%
MARKET GROWTH STRATEGY FUND - Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
MARKET GROWTH STRATEGY ALLOCATION FUND -Class F Prospectus | SAAT MARKET GROWTH STRATEGY ALLOCATION FUND - CLASS F          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   18.43% 9.81% 10.09% 7.96%
Performance Inception Date Nov. 17, 2003        
MARKET GROWTH STRATEGY ALLOCATION FUND -Class F Prospectus | SAAT MARKET GROWTH STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   15.21% 7.66% 8.62% 6.98%
MARKET GROWTH STRATEGY ALLOCATION FUND -Class F Prospectus | SAAT MARKET GROWTH STRATEGY ALLOCATION FUND - CLASS F | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   12.73% 7.30% 7.91% 6.47%
MARKET GROWTH STRATEGY ALLOCATION FUND -Class F Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   18.92% 12.67% 13.04% 10.03%
MARKET GROWTH STRATEGY ALLOCATION FUND -Class F Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
DEFENSIVE STRATEGY FUND - Class D Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS D          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   6.29% 3.01% 2.90% 2.49%
Performance Inception Date Nov. 17, 2003        
DEFENSIVE STRATEGY FUND - Class D Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS D | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   4.97% 1.61% 1.83% 1.54%
DEFENSIVE STRATEGY FUND - Class D Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS D | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   3.76% 1.74% 1.80% 1.56%
DEFENSIVE STRATEGY FUND - Class D Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
DEFENSIVE STRATEGY FUND - Class D Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   6.96% 3.14% 3.10% 2.98%
CONSERVATIVE STRATEGY FUND - Class D Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS D          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent [1]   7.62% 2.82% 3.01% 2.46%
Performance Inception Date Nov. 17, 2003        
CONSERVATIVE STRATEGY FUND - Class D Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS D | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent [1]   6.62% 1.66% 2.14% 1.55%
CONSERVATIVE STRATEGY FUND - Class D Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS D | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent [1]   4.57% 1.73% 2.00% 1.56%
CONSERVATIVE STRATEGY FUND - Class D Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [1]   7.30% (0.36%) 2.01% 3.27%
CONSERVATIVE STRATEGY FUND - Class D Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [1]   9.23% 3.54% 4.05% 3.95%
MODERATE STRATEGY FUND - Class D Prospectus | SAAT MODERATE STRATEGY FUND - CLASS D          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent [2]   10.72% 3.44% 4.16% 3.68%
Performance Inception Date Nov. 17, 2003        
MODERATE STRATEGY FUND - Class D Prospectus | SAAT MODERATE STRATEGY FUND - CLASS D | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent [2]   9.72% 2.07% 3.12% 2.60%
MODERATE STRATEGY FUND - Class D Prospectus | SAAT MODERATE STRATEGY FUND - CLASS D | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent [2]   6.44% 2.16% 2.87% 2.49%
MODERATE STRATEGY FUND - Class D Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [2]   7.30% (0.36%) 2.01% 3.27%
MODERATE STRATEGY FUND - Class D Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [2]   12.13% 4.50% 5.62% 5.30%
AGGRESSIVE STRATEGY FUND - Class D Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS D          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent [3]   21.05% 7.14% 7.94% 5.92%
Performance Inception Date Nov. 17, 2003        
AGGRESSIVE STRATEGY FUND - Class D Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS D | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent [3]   18.65% 4.99% 6.43% 4.68%
AGGRESSIVE STRATEGY FUND - Class D Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS D | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent [3]   13.80% 4.96% 5.94% 4.40%
AGGRESSIVE STRATEGY FUND - Class D Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [3]   19.59% 8.94% 10.20% 8.45%
AGGRESSIVE STRATEGY FUND - Class D Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [3]   17.88% 14.42% 14.82% 10.97%
CORE MARKET STRATEGY FUND - Class D Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS D          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   15.11% 4.71% 6.11% 5.31%
Performance Inception Date Nov. 17, 2003        
CORE MARKET STRATEGY FUND - Class D Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS D | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   13.81% 2.74% 4.37% 3.80%
CORE MARKET STRATEGY FUND - Class D Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS D | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   9.06% 2.93% 4.19% 3.68%
CORE MARKET STRATEGY FUND - Class D Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
CORE MARKET STRATEGY FUND - Class D Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   15.08% 5.39% 7.13% 6.61%
MARKET GROWTH STRATEGY FUND - Class D Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS D          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent [4]   16.86% 5.41% 6.41% 4.89%
Performance Inception Date Nov. 17, 2003        
MARKET GROWTH STRATEGY FUND - Class D Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS D | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent [4]   15.35% 3.51% 5.04% 3.67%
MARKET GROWTH STRATEGY FUND - Class D Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS D | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent [4]   10.39% 3.59% 4.64% 3.48%
MARKET GROWTH STRATEGY FUND - Class D Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [4]   16.81% 6.49% 8.07% 7.19%
MARKET GROWTH STRATEGY FUND - Class D Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent [4]   17.88% 14.42% 14.82% 10.97%
DEFENSIVE STRATEGY FUND - Class I Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS I          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   6.05% 2.73% 2.63% 2.24%
Performance Inception Date Nov. 17, 2003        
DEFENSIVE STRATEGY FUND - Class I Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS I | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   4.80% 1.42% 1.65% 1.35%
DEFENSIVE STRATEGY FUND - Class I Prospectus | SAAT DEFENSIVE STRATEGY FUND - CLASS I | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   3.62% 1.57% 1.63% 1.39%
DEFENSIVE STRATEGY FUND - Class I Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
DEFENSIVE STRATEGY FUND - Class I Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   6.96% 3.14% 3.10% 2.98%
CONSERVATIVE STRATEGY FUND - Class I Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS I          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   8.13% 3.35% 3.55% 3.27%
Performance Inception Date Nov. 17, 2003        
CONSERVATIVE STRATEGY FUND - Class I Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS I | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   6.96% 2.02% 2.50% 2.25%
CONSERVATIVE STRATEGY FUND - Class I Prospectus | SAAT CONSERVATIVE STRATEGY FUND - CLASS I | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   4.88% 2.06% 2.35% 2.17%
CONSERVATIVE STRATEGY FUND - Class I Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
CONSERVATIVE STRATEGY FUND - Class I Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   9.23% 3.54% 4.05% 3.95%
MODERATE STRATEGY FUND - Class I Prospectus | SAAT MODERATE STRATEGY FUND - CLASS I          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   11.19% 3.95% 4.67% 4.51%
Performance Inception Date Nov. 17, 2003        
MODERATE STRATEGY FUND - Class I Prospectus | SAAT MODERATE STRATEGY FUND - CLASS I | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   10.04% 2.42% 3.46% 3.35%
MODERATE STRATEGY FUND - Class I Prospectus | SAAT MODERATE STRATEGY FUND - CLASS I | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   6.73% 2.48% 3.20% 3.16%
MODERATE STRATEGY FUND - Class I Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
MODERATE STRATEGY FUND - Class I Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   12.13% 4.50% 5.62% 5.30%
AGGRESSIVE STRATEGY FUND - Class I Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS I          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   21.63% 7.69% 8.49% 6.60%
Performance Inception Date Nov. 17, 2003        
AGGRESSIVE STRATEGY FUND - Class I Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS I | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   18.98% 5.35% 6.81% 5.31%
AGGRESSIVE STRATEGY FUND - Class I Prospectus | SAAT AGGRESSIVE STRATEGY FUND - CLASS I | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   14.20% 5.31% 6.31% 5.00%
AGGRESSIVE STRATEGY FUND - Class I Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   19.59% 8.94% 10.20% 8.45%
AGGRESSIVE STRATEGY FUND - Class I Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
CORE MARKET STRATEGY FUND - Class I Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS I          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   15.47% 5.08% 6.40% 5.61%
Performance Inception Date Nov. 17, 2003        
CORE MARKET STRATEGY FUND - Class I Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS I | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   14.39% 3.40% 4.91% 4.29%
CORE MARKET STRATEGY FUND - Class I Prospectus | SAAT CORE MARKET STRATEGY FUND - CLASS I | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   9.25% 3.32% 4.53% 4.03%
CORE MARKET STRATEGY FUND - Class I Prospectus | Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Bloomberg U.S. Aggregate Bond Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   7.30% (0.36%) 2.01% 3.27%
CORE MARKET STRATEGY FUND - Class I Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   15.08% 5.39% 7.13% 6.61%
MARKET GROWTH STRATEGY FUND - Class I Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS I          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return Before Taxes        
Average Annual Return, Percent   17.39% 5.94% 6.93% 5.61%
Performance Inception Date Nov. 17, 2003        
MARKET GROWTH STRATEGY FUND - Class I Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS I | After Taxes on Distributions          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions        
Average Annual Return, Percent   15.63% 3.81% 5.35% 4.29%
MARKET GROWTH STRATEGY FUND - Class I Prospectus | SAAT MARKET GROWTH STRATEGY FUND - CLASS I | After Taxes on Distributions and Sales          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Return After Taxes on Distributions and Sale of Fund Shares        
Average Annual Return, Percent   10.73% 3.90% 4.97% 4.06%
MARKET GROWTH STRATEGY FUND - Class I Prospectus | Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] Blended Benchmark Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   16.81% 6.49% 8.07% 7.19%
MARKET GROWTH STRATEGY FUND - Class I Prospectus | S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)          
Prospectus [Line Items]          
Average Annual Return, Label [Optional Text] S&P 500 Index Return (reflects no deduction for fees, expenses or taxes)        
Average Annual Return, Percent   17.88% 14.42% 14.82% 10.97%
[1] The Fund's Class D Shares commenced operations on March 25, 2011. For periods prior to March 25, 2011, the performance of the Fund's Class F Shares, adjusted for the higher total annual fund operating expenses of the Class D Shares has been used. Returns for Class D Shares would have been substantially similar to those of Class F Shares and would have differed only to the extent that Class D Shares have higher total annual fund operating expenses than Class F Shares.
[2] The Fund's Class D Shares commenced operations on March 25, 2011. For periods prior to March 25, 2011, the performance of the Fund's Class F Shares, adjusted for the higher total annual fund operating expenses of the Class D Shares has been used. Returns for Class D Shares would have been substantially similar to those of Class F Shares and would have differed only to the extent that Class D Shares have higher total annual fund operating expenses than Class F Shares.
[3] The Fund's Class D Shares commenced operations on March 25, 2011. For periods prior to March 25, 2011, the performance of the Fund's Class F Shares, adjusted for the higher total annual fund operating expenses of the Class D Shares has been used. Returns for Class D Shares would have been substantially similar to those of Class F Shares and would have differed only to the extent that Class D Shares have higher total annual fund operating expenses than Class F Shares.
[4] The Fund's Class D Shares commenced operations on March 25, 2011. For periods prior to March 25, 2011, the performance of the Fund's Class F Shares, adjusted for the higher total annual fund operating expenses of the Class D Shares has been used. Returns for Class D Shares would have been substantially similar to those of Class F Shares and would have differed only to the extent that Class D Shares have higher total annual fund operating expenses than Class F Shares.