116.8 is what percent of 207.1 - 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 207.1 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 207.1, so we can write it down as 100%=207.1.
4. We know, that x% equals 116.8 of the output value, so we can write it down as x%=116.8.
5. Now we have two simple equations:
1) 100%=207.1
2) x%=116.8
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%=207.1/116.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.8 is what percent of 207.1

100%/x%=207.1/116.8
(100/x)*x=(207.1/116.8)*x       - we multiply both sides of the equation by x
100=1.7731164383562*x       - we divide both sides of the equation by (1.7731164383562) to get x
100/1.7731164383562=x
56.397875422501=x
x=56.397875422501

now we have:
116.8 is 56.397875422501% of 207.1