95.51 is what percent of 116.99 - 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 116.99 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 116.99, so we can write it down as 100%=116.99.
4. We know, that x% equals 95.51 of the output value, so we can write it down as x%=95.51.
5. Now we have two simple equations:
1) 100%=116.99
2) x%=95.51
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%=116.99/95.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.51 is what percent of 116.99

100%/x%=116.99/95.51
(100/x)*x=(116.99/95.51)*x       - we multiply both sides of the equation by x
100=1.2248979164485*x       - we divide both sides of the equation by (1.2248979164485) to get x
100/1.2248979164485=x
81.639456363792=x
x=81.639456363792

now we have:
95.51 is 81.639456363792% of 116.99