438.56 is what percent of 120.715 - 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 120.715 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 120.715, so we can write it down as 100%=120.715.
4. We know, that x% equals 438.56 of the output value, so we can write it down as x%=438.56.
5. Now we have two simple equations:
1) 100%=120.715
2) x%=438.56
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%=120.715/438.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.56 is what percent of 120.715

100%/x%=120.715/438.56
(100/x)*x=(120.715/438.56)*x       - we multiply both sides of the equation by x
100=0.27525310105801*x       - we divide both sides of the equation by (0.27525310105801) to get x
100/0.27525310105801=x
363.3019922959=x
x=363.3019922959

now we have:
438.56 is 363.3019922959% of 120.715