62.35 is what percent of 1258.08 - 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 1258.08 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 1258.08, so we can write it down as 100%=1258.08.
4. We know, that x% equals 62.35 of the output value, so we can write it down as x%=62.35.
5. Now we have two simple equations:
1) 100%=1258.08
2) x%=62.35
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%=1258.08/62.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.35 is what percent of 1258.08

100%/x%=1258.08/62.35
(100/x)*x=(1258.08/62.35)*x       - we multiply both sides of the equation by x
100=20.177706495589*x       - we divide both sides of the equation by (20.177706495589) to get x
100/20.177706495589=x
4.9559646445377=x
x=4.9559646445377

now we have:
62.35 is 4.9559646445377% of 1258.08