Step 1 :Let's find the dollar amount of each deduction:
Step 2 :Union dues: \(815.75 \times 3.5\% = 815.75 \times 0.035 = \$28.55\)
Step 3 :Employment insurance: \(815.75 \times 4.25\% = 815.75 \times 0.0425 = \$34.67\)
Step 4 :Income tax: \(815.75 \times 16\% = 815.75 \times 0.16 = \$130.52\)
Step 5 :Total deductions: \(28.55 + 34.67 + 130.52 = \$193.74\)
Step 6 :Take-home pay: \(815.75 - 193.74 = \boxed{\$622.01}\)