Question 706426
Let's break this problem down:
"110 percent"
As easy mistake is to try to use percents in calculations. Instead you should use the decimal or fraction equivalent. As a decimal 110 percent is 1.10 (or just 1.1). As a fraction 110 percent is 110/100 which reduces to 11/10.<br>
"of"
When a problem talks about a fraction or a percent of something, then that "of" translates into a multiplication symbol.<br>
"what number"
We use variables to represent unknown numbers. Often "x" is used.<br>
"is"
Forms of the verb "to be" translate into an equals symbol (unless it is followed by "greater" or "less").
"56"
Numbers need no translation.<br>
So "110 percent of what number is 56" translates into:
{{{1.1*x = 56}}} if you use the decimal version of 110%; or
{{{(11/10)*x = 56}}} is you use the fraction version of 110%.<br>
If you use the decimal equation you end up with an infinitely repeating decimal. So I am going to use the fraction equation:
{{{(11/10)*x = 56}}}
We can more quickly find x if we multiply both sides by the reciprocal of 11/10:
{{{(10/11)*(11/10)*x = (10/11)*56}}}
{{{x = 560/11 = 50&10/11}}}
So 110 percent of {{{50&10/11}}} is 56.