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You can put this solution on YOUR website!
the item is equal to 24% of the total.
\n" ); document.write( "the item is increased by 20%
\n" ); document.write( "about the easiest way to do this is to give it some numbers.
\n" ); document.write( "assume the total cost is 100 dollars.
\n" ); document.write( "assume the item costs 24 dollars (.24 * 100 = 24)
\n" ); document.write( "increase the item cost by 20% to get:
\n" ); document.write( "24 + .2 * 24 = 24 + 4.8 = 28.8
\n" ); document.write( "since the item cost has increased by 4.8 dollars, then the total cost has increased by 4.8 dollars as well, so you get:
\n" ); document.write( "item cost = 28.8, total cost = 104.8.
\n" ); document.write( "percentage of item cost is now 28.8 / 104.8 * 100% = 27.48091603%
\n" ); document.write( "you can also do this with variable instead of numbers.
\n" ); document.write( "assume x is the total cost.
\n" ); document.write( "assume .24x is the item cost.
\n" ); document.write( "increase the item cost by 20% to get an item cost of .24x + .2 * .24x = .288x
\n" ); document.write( "the total cost has increased by the same amount, so the total cost has increased from x to x + .2 * .24x = 1.048 x.
\n" ); document.write( "the ratio of the new item cost to the new total cost is equal to .288x / 1.048x which is equal to .27480916034 which is equal to 27.48091603%
\n" ); document.write( "the calculator is doing some rounding because the number of display decimal places is less when you multiply the ratio by 100.
\n" ); document.write( "the whole isea is that the item has increased by a certain amount which means that the total has increased by the same amount.
\n" ); document.write( "putting it into numbers is about the easiest way to handle it.
\n" ); document.write( "any nunber will do.
\n" ); document.write( "calling the total 100 is easy because 24% of 100 is equal to 24.
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