107.3 is what percent of 115.5 - 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 115.5 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 115.5, so we can write it down as 100%=115.5.
4. We know, that x% equals 107.3 of the output value, so we can write it down as x%=107.3.
5. Now we have two simple equations:
1) 100%=115.5
2) x%=107.3
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%=115.5/107.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.3 is what percent of 115.5

100%/x%=115.5/107.3
(100/x)*x=(115.5/107.3)*x       - we multiply both sides of the equation by x
100=1.076421248835*x       - we divide both sides of the equation by (1.076421248835) to get x
100/1.076421248835=x
92.900432900433=x
x=92.900432900433

now we have:
107.3 is 92.900432900433% of 115.5