110.9 is what percent of 75 - 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 75 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 75, so we can write it down as 100%=75.
4. We know, that x% equals 110.9 of the output value, so we can write it down as x%=110.9.
5. Now we have two simple equations:
1) 100%=75
2) x%=110.9
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%=75/110.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.9 is what percent of 75

100%/x%=75/110.9
(100/x)*x=(75/110.9)*x       - we multiply both sides of the equation by x
100=0.67628494138864*x       - we divide both sides of the equation by (0.67628494138864) to get x
100/0.67628494138864=x
147.86666666667=x
x=147.86666666667

now we have:
110.9 is 147.86666666667% of 75