397.48 is what percent of 502.5 - 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 502.5 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 502.5, so we can write it down as 100%=502.5.
4. We know, that x% equals 397.48 of the output value, so we can write it down as x%=397.48.
5. Now we have two simple equations:
1) 100%=502.5
2) x%=397.48
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%=502.5/397.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 397.48 is what percent of 502.5

100%/x%=502.5/397.48
(100/x)*x=(502.5/397.48)*x       - we multiply both sides of the equation by x
100=1.2642145516756*x       - we divide both sides of the equation by (1.2642145516756) to get x
100/1.2642145516756=x
79.100497512438=x
x=79.100497512438

now we have:
397.48 is 79.100497512438% of 502.5