188.8 is what percent of 1150.45 - 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 1150.45 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 1150.45, so we can write it down as 100%=1150.45.
4. We know, that x% equals 188.8 of the output value, so we can write it down as x%=188.8.
5. Now we have two simple equations:
1) 100%=1150.45
2) x%=188.8
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%=1150.45/188.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.8 is what percent of 1150.45

100%/x%=1150.45/188.8
(100/x)*x=(1150.45/188.8)*x       - we multiply both sides of the equation by x
100=6.0934851694915*x       - we divide both sides of the equation by (6.0934851694915) to get x
100/6.0934851694915=x
16.410969620583=x
x=16.410969620583

now we have:
188.8 is 16.410969620583% of 1150.45