97.12 is what percent of 121.06 - 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 121.06 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 121.06, so we can write it down as 100%=121.06.
4. We know, that x% equals 97.12 of the output value, so we can write it down as x%=97.12.
5. Now we have two simple equations:
1) 100%=121.06
2) x%=97.12
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%=121.06/97.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.12 is what percent of 121.06

100%/x%=121.06/97.12
(100/x)*x=(121.06/97.12)*x       - we multiply both sides of the equation by x
100=1.2464991762768*x       - we divide both sides of the equation by (1.2464991762768) to get x
100/1.2464991762768=x
80.22468197588=x
x=80.22468197588

now we have:
97.12 is 80.22468197588% of 121.06