63.46 is what percent of 2538.24 - 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 2538.24 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 2538.24, so we can write it down as 100%=2538.24.
4. We know, that x% equals 63.46 of the output value, so we can write it down as x%=63.46.
5. Now we have two simple equations:
1) 100%=2538.24
2) x%=63.46
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%=2538.24/63.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.46 is what percent of 2538.24

100%/x%=2538.24/63.46
(100/x)*x=(2538.24/63.46)*x       - we multiply both sides of the equation by x
100=39.997478726757*x       - we divide both sides of the equation by (39.997478726757) to get x
100/39.997478726757=x
2.5001575895108=x
x=2.5001575895108

now we have:
63.46 is 2.5001575895108% of 2538.24