166.18 is what percent of 725 - 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 725 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 725, so we can write it down as 100%=725.
4. We know, that x% equals 166.18 of the output value, so we can write it down as x%=166.18.
5. Now we have two simple equations:
1) 100%=725
2) x%=166.18
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%=725/166.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.18 is what percent of 725

100%/x%=725/166.18
(100/x)*x=(725/166.18)*x       - we multiply both sides of the equation by x
100=4.3627391984595*x       - we divide both sides of the equation by (4.3627391984595) to get x
100/4.3627391984595=x
22.921379310345=x
x=22.921379310345

now we have:
166.18 is 22.921379310345% of 725