116.79 is what percent of 1240.96 - 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 1240.96 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 1240.96, so we can write it down as 100%=1240.96.
4. We know, that x% equals 116.79 of the output value, so we can write it down as x%=116.79.
5. Now we have two simple equations:
1) 100%=1240.96
2) x%=116.79
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%=1240.96/116.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.79 is what percent of 1240.96

100%/x%=1240.96/116.79
(100/x)*x=(1240.96/116.79)*x       - we multiply both sides of the equation by x
100=10.625567257471*x       - we divide both sides of the equation by (10.625567257471) to get x
100/10.625567257471=x
9.4112622485817=x
x=9.4112622485817

now we have:
116.79 is 9.4112622485817% of 1240.96