62.58 is what percent of 103 - 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 103 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 103, so we can write it down as 100%=103.
4. We know, that x% equals 62.58 of the output value, so we can write it down as x%=62.58.
5. Now we have two simple equations:
1) 100%=103
2) x%=62.58
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%=103/62.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.58 is what percent of 103

100%/x%=103/62.58
(100/x)*x=(103/62.58)*x       - we multiply both sides of the equation by x
100=1.6458932566315*x       - we divide both sides of the equation by (1.6458932566315) to get x
100/1.6458932566315=x
60.757281553398=x
x=60.757281553398

now we have:
62.58 is 60.757281553398% of 103