382.5 is what percent of 615.5 - 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 615.5 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 615.5, so we can write it down as 100%=615.5.
4. We know, that x% equals 382.5 of the output value, so we can write it down as x%=382.5.
5. Now we have two simple equations:
1) 100%=615.5
2) x%=382.5
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%=615.5/382.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.5 is what percent of 615.5

100%/x%=615.5/382.5
(100/x)*x=(615.5/382.5)*x       - we multiply both sides of the equation by x
100=1.6091503267974*x       - we divide both sides of the equation by (1.6091503267974) to get x
100/1.6091503267974=x
62.144597887896=x
x=62.144597887896

now we have:
382.5 is 62.144597887896% of 615.5