35245.96 is what percent of 52245.28 - 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 52245.28 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 52245.28, so we can write it down as 100%=52245.28.
4. We know, that x% equals 35245.96 of the output value, so we can write it down as x%=35245.96.
5. Now we have two simple equations:
1) 100%=52245.28
2) x%=35245.96
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%=52245.28/35245.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35245.96 is what percent of 52245.28

100%/x%=52245.28/35245.96
(100/x)*x=(52245.28/35245.96)*x       - we multiply both sides of the equation by x
100=1.4823054897639*x       - we divide both sides of the equation by (1.4823054897639) to get x
100/1.4823054897639=x
67.462476993137=x
x=67.462476993137

now we have:
35245.96 is 67.462476993137% of 52245.28