752.55 is what percent of 952.6 - 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 952.6 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 952.6, so we can write it down as 100%=952.6.
4. We know, that x% equals 752.55 of the output value, so we can write it down as x%=752.55.
5. Now we have two simple equations:
1) 100%=952.6
2) x%=752.55
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%=952.6/752.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.55 is what percent of 952.6

100%/x%=952.6/752.55
(100/x)*x=(952.6/752.55)*x       - we multiply both sides of the equation by x
100=1.2658295129892*x       - we divide both sides of the equation by (1.2658295129892) to get x
100/1.2658295129892=x
78.999580096578=x
x=78.999580096578

now we have:
752.55 is 78.999580096578% of 952.6