9.41 is what percent of 15.98 - 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 15.98 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 15.98, so we can write it down as 100%=15.98.
4. We know, that x% equals 9.41 of the output value, so we can write it down as x%=9.41.
5. Now we have two simple equations:
1) 100%=15.98
2) x%=9.41
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%=15.98/9.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.41 is what percent of 15.98

100%/x%=15.98/9.41
(100/x)*x=(15.98/9.41)*x       - we multiply both sides of the equation by x
100=1.6981934112646*x       - we divide both sides of the equation by (1.6981934112646) to get x
100/1.6981934112646=x
58.886107634543=x
x=58.886107634543

now we have:
9.41 is 58.886107634543% of 15.98