88.75 is what percent of 110.94 - 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 110.94 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 110.94, so we can write it down as 100%=110.94.
4. We know, that x% equals 88.75 of the output value, so we can write it down as x%=88.75.
5. Now we have two simple equations:
1) 100%=110.94
2) x%=88.75
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%=110.94/88.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.75 is what percent of 110.94

100%/x%=110.94/88.75
(100/x)*x=(110.94/88.75)*x       - we multiply both sides of the equation by x
100=1.2500281690141*x       - we divide both sides of the equation by (1.2500281690141) to get x
100/1.2500281690141=x
79.998197223725=x
x=79.998197223725

now we have:
88.75 is 79.998197223725% of 110.94