138.97 is what percent of 1150 - 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 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, so we can write it down as 100%=1150.
4. We know, that x% equals 138.97 of the output value, so we can write it down as x%=138.97.
5. Now we have two simple equations:
1) 100%=1150
2) x%=138.97
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%=1150/138.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.97 is what percent of 1150

100%/x%=1150/138.97
(100/x)*x=(1150/138.97)*x       - we multiply both sides of the equation by x
100=8.2751673022955*x       - we divide both sides of the equation by (8.2751673022955) to get x
100/8.2751673022955=x
12.084347826087=x
x=12.084347826087

now we have:
138.97 is 12.084347826087% of 1150