97.06 is what percent of 139.92 - 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 139.92 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 139.92, so we can write it down as 100%=139.92.
4. We know, that x% equals 97.06 of the output value, so we can write it down as x%=97.06.
5. Now we have two simple equations:
1) 100%=139.92
2) x%=97.06
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%=139.92/97.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.06 is what percent of 139.92

100%/x%=139.92/97.06
(100/x)*x=(139.92/97.06)*x       - we multiply both sides of the equation by x
100=1.4415825262724*x       - we divide both sides of the equation by (1.4415825262724) to get x
100/1.4415825262724=x
69.368210405946=x
x=69.368210405946

now we have:
97.06 is 69.368210405946% of 139.92