520.15 is what percent of 747.51 - 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 747.51 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 747.51, so we can write it down as 100%=747.51.
4. We know, that x% equals 520.15 of the output value, so we can write it down as x%=520.15.
5. Now we have two simple equations:
1) 100%=747.51
2) x%=520.15
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%=747.51/520.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 520.15 is what percent of 747.51

100%/x%=747.51/520.15
(100/x)*x=(747.51/520.15)*x       - we multiply both sides of the equation by x
100=1.4371046813419*x       - we divide both sides of the equation by (1.4371046813419) to get x
100/1.4371046813419=x
69.584353386577=x
x=69.584353386577

now we have:
520.15 is 69.584353386577% of 747.51