15.37 is what percent of 948.48 - 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 948.48 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 948.48, so we can write it down as 100%=948.48.
4. We know, that x% equals 15.37 of the output value, so we can write it down as x%=15.37.
5. Now we have two simple equations:
1) 100%=948.48
2) x%=15.37
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%=948.48/15.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.37 is what percent of 948.48

100%/x%=948.48/15.37
(100/x)*x=(948.48/15.37)*x       - we multiply both sides of the equation by x
100=61.709824333116*x       - we divide both sides of the equation by (61.709824333116) to get x
100/61.709824333116=x
1.6204875168691=x
x=1.6204875168691

now we have:
15.37 is 1.6204875168691% of 948.48