992.32 is what percent of 1542.16 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1542.16 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1542.16, so we can write it down as 100%=1542.16.
4. We know, that x% equals 992.32 of the output value, so we can write it down as x%=992.32.
5. Now we have two simple equations:
1) 100%=1542.16
2) x%=992.32
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1542.16/992.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 992.32 is what percent of 1542.16

100%/x%=1542.16/992.32
(100/x)*x=(1542.16/992.32)*x       - we multiply both sides of the equation by x
100=1.5540954530797*x       - we divide both sides of the equation by (1.5540954530797) to get x
100/1.5540954530797=x
64.34611194688=x
x=64.34611194688

now we have:
992.32 is 64.34611194688% of 1542.16