10037.8 is what percent of 60746.1 - 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 60746.1 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 60746.1, so we can write it down as 100%=60746.1.
4. We know, that x% equals 10037.8 of the output value, so we can write it down as x%=10037.8.
5. Now we have two simple equations:
1) 100%=60746.1
2) x%=10037.8
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%=60746.1/10037.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10037.8 is what percent of 60746.1

100%/x%=60746.1/10037.8
(100/x)*x=(60746.1/10037.8)*x       - we multiply both sides of the equation by x
100=6.0517344438024*x       - we divide both sides of the equation by (6.0517344438024) to get x
100/6.0517344438024=x
16.52418838411=x
x=16.52418838411

now we have:
10037.8 is 16.52418838411% of 60746.1