115.91 is what percent of 277.07 - 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 277.07 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 277.07, so we can write it down as 100%=277.07.
4. We know, that x% equals 115.91 of the output value, so we can write it down as x%=115.91.
5. Now we have two simple equations:
1) 100%=277.07
2) x%=115.91
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%=277.07/115.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.91 is what percent of 277.07

100%/x%=277.07/115.91
(100/x)*x=(277.07/115.91)*x       - we multiply both sides of the equation by x
100=2.3903890949875*x       - we divide both sides of the equation by (2.3903890949875) to get x
100/2.3903890949875=x
41.834193525102=x
x=41.834193525102

now we have:
115.91 is 41.834193525102% of 277.07