110.93 is what percent of 107.91 - 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 107.91 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 107.91, so we can write it down as 100%=107.91.
4. We know, that x% equals 110.93 of the output value, so we can write it down as x%=110.93.
5. Now we have two simple equations:
1) 100%=107.91
2) x%=110.93
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%=107.91/110.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.93 is what percent of 107.91

100%/x%=107.91/110.93
(100/x)*x=(107.91/110.93)*x       - we multiply both sides of the equation by x
100=0.97277562426756*x       - we divide both sides of the equation by (0.97277562426756) to get x
100/0.97277562426756=x
102.7986284867=x
x=102.7986284867

now we have:
110.93 is 102.7986284867% of 107.91