135.77 is what percent of 961.54 - 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 961.54 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 961.54, so we can write it down as 100%=961.54.
4. We know, that x% equals 135.77 of the output value, so we can write it down as x%=135.77.
5. Now we have two simple equations:
1) 100%=961.54
2) x%=135.77
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%=961.54/135.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.77 is what percent of 961.54

100%/x%=961.54/135.77
(100/x)*x=(961.54/135.77)*x       - we multiply both sides of the equation by x
100=7.0821241805995*x       - we divide both sides of the equation by (7.0821241805995) to get x
100/7.0821241805995=x
14.120057407908=x
x=14.120057407908

now we have:
135.77 is 14.120057407908% of 961.54