97.11 is what percent of 79.68 - 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 79.68 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 79.68, so we can write it down as 100%=79.68.
4. We know, that x% equals 97.11 of the output value, so we can write it down as x%=97.11.
5. Now we have two simple equations:
1) 100%=79.68
2) x%=97.11
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%=79.68/97.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.11 is what percent of 79.68

100%/x%=79.68/97.11
(100/x)*x=(79.68/97.11)*x       - we multiply both sides of the equation by x
100=0.82051282051282*x       - we divide both sides of the equation by (0.82051282051282) to get x
100/0.82051282051282=x
121.875=x
x=121.875

now we have:
97.11 is 121.875% of 79.68