9.72 is what percent of 138.9 - 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 138.9 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 138.9, so we can write it down as 100%=138.9.
4. We know, that x% equals 9.72 of the output value, so we can write it down as x%=9.72.
5. Now we have two simple equations:
1) 100%=138.9
2) x%=9.72
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%=138.9/9.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.72 is what percent of 138.9

100%/x%=138.9/9.72
(100/x)*x=(138.9/9.72)*x       - we multiply both sides of the equation by x
100=14.29012345679*x       - we divide both sides of the equation by (14.29012345679) to get x
100/14.29012345679=x
6.9978401727862=x
x=6.9978401727862

now we have:
9.72 is 6.9978401727862% of 138.9