88.33 is what percent of 542.57 - 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 542.57 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 542.57, so we can write it down as 100%=542.57.
4. We know, that x% equals 88.33 of the output value, so we can write it down as x%=88.33.
5. Now we have two simple equations:
1) 100%=542.57
2) x%=88.33
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%=542.57/88.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.33 is what percent of 542.57

100%/x%=542.57/88.33
(100/x)*x=(542.57/88.33)*x       - we multiply both sides of the equation by x
100=6.1425336805162*x       - we divide both sides of the equation by (6.1425336805162) to get x
100/6.1425336805162=x
16.279927014026=x
x=16.279927014026

now we have:
88.33 is 16.279927014026% of 542.57