116.2 is what percent of 1375 - 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 1375 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 1375, so we can write it down as 100%=1375.
4. We know, that x% equals 116.2 of the output value, so we can write it down as x%=116.2.
5. Now we have two simple equations:
1) 100%=1375
2) x%=116.2
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%=1375/116.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.2 is what percent of 1375

100%/x%=1375/116.2
(100/x)*x=(1375/116.2)*x       - we multiply both sides of the equation by x
100=11.833046471601*x       - we divide both sides of the equation by (11.833046471601) to get x
100/11.833046471601=x
8.4509090909091=x
x=8.4509090909091

now we have:
116.2 is 8.4509090909091% of 1375