99.2 is what percent of 1160 - 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 1160 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 1160, so we can write it down as 100%=1160.
4. We know, that x% equals 99.2 of the output value, so we can write it down as x%=99.2.
5. Now we have two simple equations:
1) 100%=1160
2) x%=99.2
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%=1160/99.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.2 is what percent of 1160

100%/x%=1160/99.2
(100/x)*x=(1160/99.2)*x       - we multiply both sides of the equation by x
100=11.693548387097*x       - we divide both sides of the equation by (11.693548387097) to get x
100/11.693548387097=x
8.551724137931=x
x=8.551724137931

now we have:
99.2 is 8.551724137931% of 1160