135.61 is what percent of 1195.86 - 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 1195.86 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 1195.86, so we can write it down as 100%=1195.86.
4. We know, that x% equals 135.61 of the output value, so we can write it down as x%=135.61.
5. Now we have two simple equations:
1) 100%=1195.86
2) x%=135.61
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%=1195.86/135.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.61 is what percent of 1195.86

100%/x%=1195.86/135.61
(100/x)*x=(1195.86/135.61)*x       - we multiply both sides of the equation by x
100=8.818376225942*x       - we divide both sides of the equation by (8.818376225942) to get x
100/8.818376225942=x
11.339956182162=x
x=11.339956182162

now we have:
135.61 is 11.339956182162% of 1195.86