130.6 is what percent of 1176 - 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 1176 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 1176, so we can write it down as 100%=1176.
4. We know, that x% equals 130.6 of the output value, so we can write it down as x%=130.6.
5. Now we have two simple equations:
1) 100%=1176
2) x%=130.6
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%=1176/130.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.6 is what percent of 1176

100%/x%=1176/130.6
(100/x)*x=(1176/130.6)*x       - we multiply both sides of the equation by x
100=9.0045941807044*x       - we divide both sides of the equation by (9.0045941807044) to get x
100/9.0045941807044=x
11.105442176871=x
x=11.105442176871

now we have:
130.6 is 11.105442176871% of 1176