30.99 is what percent of 139.24 - 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 139.24 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 139.24, so we can write it down as 100%=139.24.
4. We know, that x% equals 30.99 of the output value, so we can write it down as x%=30.99.
5. Now we have two simple equations:
1) 100%=139.24
2) x%=30.99
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%=139.24/30.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.99 is what percent of 139.24

100%/x%=139.24/30.99
(100/x)*x=(139.24/30.99)*x       - we multiply both sides of the equation by x
100=4.4930622781542*x       - we divide both sides of the equation by (4.4930622781542) to get x
100/4.4930622781542=x
22.256535478311=x
x=22.256535478311

now we have:
30.99 is 22.256535478311% of 139.24