document.write( "Question 1156810: I want to know how to calculate gross pay if I know the NET amount of my paycheck and the % of deductions.\r
\n" ); document.write( "\n" ); document.write( "In this case the NET is $1,056.70 and the deduction amount is 27.6% so what is the GROSS? What is the formula? \n" ); document.write( "
Algebra.Com's Answer #779573 by Theo(13342)\"\" \"About 
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the net pay is 1056.7
\n" ); document.write( "the deductions from the gross pay are 27.6%.
\n" ); document.write( "let g = the gross pay
\n" ); document.write( "let n = the net pay
\n" ); document.write( "let d = the deduction rate (percent / 100 = rate) = 27.6/100 = .276
\n" ); document.write( "the general formula is:
\n" ); document.write( "n = g - d * g
\n" ); document.write( "factor out the g to get:
\n" ); document.write( "n = g * (1 - d)
\n" ); document.write( "you are given that n = 1056
\n" ); document.write( "you are given that d = .276
\n" ); document.write( "the formula becomes:
\n" ); document.write( "1056.7 = g * (1 - .276)
\n" ); document.write( "simplify to get:
\n" ); document.write( "1056.7 = .724 * g
\n" ); document.write( "solve for g to get:
\n" ); document.write( "g = 1056.7/.724 = 1459.530387.
\n" ); document.write( "that's your gross.
\n" ); document.write( "working back from this, you know the the net pay is equal to the gross minus .276 * the gross which is equal to 1459.530387 minus .276 * 1459.530387.
\n" ); document.write( "that makes the net pay equal to 1056.7.
\n" ); document.write( "the solution is confirmed to be good.
\n" ); document.write( "the solution is that the gross pay is equal to 1459.530387.
\n" ); document.write( "the formula i used is:
\n" ); document.write( "n = g * (1 - d)
\n" ); document.write( "that translates to:
\n" ); document.write( "net pay = gross pay * (1 minus (deduction percent divided by 100)).
\n" ); document.write( "solve for gross pay and you get:
\n" ); document.write( "gross pay = net pay divided by (1 minus (deduction percent divided by 100)).
\n" ); document.write( "that gets you gross pay = 1056.7 / (1 - 27.6/100) = 1459.530387.\r
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