152.25 is what percent of 759.06 - 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 759.06 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 759.06, so we can write it down as 100%=759.06.
4. We know, that x% equals 152.25 of the output value, so we can write it down as x%=152.25.
5. Now we have two simple equations:
1) 100%=759.06
2) x%=152.25
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%=759.06/152.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.25 is what percent of 759.06

100%/x%=759.06/152.25
(100/x)*x=(759.06/152.25)*x       - we multiply both sides of the equation by x
100=4.9856157635468*x       - we divide both sides of the equation by (4.9856157635468) to get x
100/4.9856157635468=x
20.057702948384=x
x=20.057702948384

now we have:
152.25 is 20.057702948384% of 759.06