101.94 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 101.94 of the output value, so we can write it down as x%=101.94.
5. Now we have two simple equations:
1) 100%=75
2) x%=101.94
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%=75/101.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.94 is what percent of 75

100%/x%=75/101.94
(100/x)*x=(75/101.94)*x       - we multiply both sides of the equation by x
100=0.7357268981754*x       - we divide both sides of the equation by (0.7357268981754) to get x
100/0.7357268981754=x
135.92=x
x=135.92

now we have:
101.94 is 135.92% of 75