97.75 is what percent of 117 - 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 117 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 117, so we can write it down as 100%=117.
4. We know, that x% equals 97.75 of the output value, so we can write it down as x%=97.75.
5. Now we have two simple equations:
1) 100%=117
2) x%=97.75
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%=117/97.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.75 is what percent of 117

100%/x%=117/97.75
(100/x)*x=(117/97.75)*x       - we multiply both sides of the equation by x
100=1.1969309462916*x       - we divide both sides of the equation by (1.1969309462916) to get x
100/1.1969309462916=x
83.547008547009=x
x=83.547008547009

now we have:
97.75 is 83.547008547009% of 117