155.84 is what percent of 1126.8 - 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 1126.8 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 1126.8, so we can write it down as 100%=1126.8.
4. We know, that x% equals 155.84 of the output value, so we can write it down as x%=155.84.
5. Now we have two simple equations:
1) 100%=1126.8
2) x%=155.84
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%=1126.8/155.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.84 is what percent of 1126.8

100%/x%=1126.8/155.84
(100/x)*x=(1126.8/155.84)*x       - we multiply both sides of the equation by x
100=7.2304928131417*x       - we divide both sides of the equation by (7.2304928131417) to get x
100/7.2304928131417=x
13.830315938942=x
x=13.830315938942

now we have:
155.84 is 13.830315938942% of 1126.8