399.07 is what percent of 523.13 - 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 523.13 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 523.13, so we can write it down as 100%=523.13.
4. We know, that x% equals 399.07 of the output value, so we can write it down as x%=399.07.
5. Now we have two simple equations:
1) 100%=523.13
2) x%=399.07
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%=523.13/399.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.07 is what percent of 523.13

100%/x%=523.13/399.07
(100/x)*x=(523.13/399.07)*x       - we multiply both sides of the equation by x
100=1.3108727792117*x       - we divide both sides of the equation by (1.3108727792117) to get x
100/1.3108727792117=x
76.285053428402=x
x=76.285053428402

now we have:
399.07 is 76.285053428402% of 523.13