document.write( "Question 458879: My basic thought is this;\r
\n" ); document.write( "\n" ); document.write( "x - x(y) = z\r
\n" ); document.write( "\n" ); document.write( "Where x represents my gross pay, y represents an unknown percentage and z represents my net pay.\r
\n" ); document.write( "\n" ); document.write( "For example: I make $15.00 per hour and work 40 hours per week, so my gross pay is $600.00. However, my net pay is $531.00. How do I find what percentage comes out of my gross pay to give me my net pay? (Hint: y = 11.5%) \r
\n" ); document.write( "\n" ); document.write( "In the past I have found it by trial and error. What I'm looking for is the formula that determines this. Can you help me?\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "David Iannarelli
\n" ); document.write( "thegiantslayer@gmail.com \n" ); document.write( "

Algebra.Com's Answer #314762 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
all you have to do is solve for y:
\n" ); document.write( "x - x(y) = z
\n" ); document.write( "x(1-y) = z
\n" ); document.write( "(1-y) = z/x
\n" ); document.write( "-y = z/x - 1
\n" ); document.write( "y = 1 - z/x
\n" ); document.write( ".
\n" ); document.write( "that is, percent reduction
\n" ); document.write( "1 - \"net pay\"/\"gross pay\"
\n" ); document.write( ".
\n" ); document.write( "1 - 531/600
\n" ); document.write( "1 - .885
\n" ); document.write( ".115
\n" ); document.write( ".
\n" ); document.write( "Multiply the above to give the \"percentage\":
\n" ); document.write( ".115 * 100 = 11.5%\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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