18.52 is what percent of 265.01 - 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 265.01 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 265.01, so we can write it down as 100%=265.01.
4. We know, that x% equals 18.52 of the output value, so we can write it down as x%=18.52.
5. Now we have two simple equations:
1) 100%=265.01
2) x%=18.52
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%=265.01/18.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.52 is what percent of 265.01

100%/x%=265.01/18.52
(100/x)*x=(265.01/18.52)*x       - we multiply both sides of the equation by x
100=14.30939524838*x       - we divide both sides of the equation by (14.30939524838) to get x
100/14.30939524838=x
6.9884155314894=x
x=6.9884155314894

now we have:
18.52 is 6.9884155314894% of 265.01