365.63 is what percent of 522.32 - 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 522.32 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 522.32, so we can write it down as 100%=522.32.
4. We know, that x% equals 365.63 of the output value, so we can write it down as x%=365.63.
5. Now we have two simple equations:
1) 100%=522.32
2) x%=365.63
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%=522.32/365.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.63 is what percent of 522.32

100%/x%=522.32/365.63
(100/x)*x=(522.32/365.63)*x       - we multiply both sides of the equation by x
100=1.4285479856686*x       - we divide both sides of the equation by (1.4285479856686) to get x
100/1.4285479856686=x
70.001148721091=x
x=70.001148721091

now we have:
365.63 is 70.001148721091% of 522.32