525.21 is what percent of 809.13 - 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 809.13 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 809.13, so we can write it down as 100%=809.13.
4. We know, that x% equals 525.21 of the output value, so we can write it down as x%=525.21.
5. Now we have two simple equations:
1) 100%=809.13
2) x%=525.21
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%=809.13/525.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 525.21 is what percent of 809.13

100%/x%=809.13/525.21
(100/x)*x=(809.13/525.21)*x       - we multiply both sides of the equation by x
100=1.5405837664934*x       - we divide both sides of the equation by (1.5405837664934) to get x
100/1.5405837664934=x
64.9104593823=x
x=64.9104593823

now we have:
525.21 is 64.9104593823% of 809.13