107.7 is what percent of 85.99 - 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 85.99 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 85.99, so we can write it down as 100%=85.99.
4. We know, that x% equals 107.7 of the output value, so we can write it down as x%=107.7.
5. Now we have two simple equations:
1) 100%=85.99
2) x%=107.7
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%=85.99/107.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.7 is what percent of 85.99

100%/x%=85.99/107.7
(100/x)*x=(85.99/107.7)*x       - we multiply both sides of the equation by x
100=0.79842154131848*x       - we divide both sides of the equation by (0.79842154131848) to get x
100/0.79842154131848=x
125.24712175834=x
x=125.24712175834

now we have:
107.7 is 125.24712175834% of 85.99