97.7 is what percent of 119.8 - 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 119.8 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 119.8, so we can write it down as 100%=119.8.
4. We know, that x% equals 97.7 of the output value, so we can write it down as x%=97.7.
5. Now we have two simple equations:
1) 100%=119.8
2) x%=97.7
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%=119.8/97.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.7 is what percent of 119.8

100%/x%=119.8/97.7
(100/x)*x=(119.8/97.7)*x       - we multiply both sides of the equation by x
100=1.2262026612078*x       - we divide both sides of the equation by (1.2262026612078) to get x
100/1.2262026612078=x
81.552587646077=x
x=81.552587646077

now we have:
97.7 is 81.552587646077% of 119.8