9.01 is what percent of 137.24 - 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 137.24 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 137.24, so we can write it down as 100%=137.24.
4. We know, that x% equals 9.01 of the output value, so we can write it down as x%=9.01.
5. Now we have two simple equations:
1) 100%=137.24
2) x%=9.01
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%=137.24/9.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.01 is what percent of 137.24

100%/x%=137.24/9.01
(100/x)*x=(137.24/9.01)*x       - we multiply both sides of the equation by x
100=15.231964483907*x       - we divide both sides of the equation by (15.231964483907) to get x
100/15.231964483907=x
6.5651413582046=x
x=6.5651413582046

now we have:
9.01 is 6.5651413582046% of 137.24