75.75 is what percent of 95.5 - 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 95.5 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 95.5, so we can write it down as 100%=95.5.
4. We know, that x% equals 75.75 of the output value, so we can write it down as x%=75.75.
5. Now we have two simple equations:
1) 100%=95.5
2) x%=75.75
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%=95.5/75.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.75 is what percent of 95.5

100%/x%=95.5/75.75
(100/x)*x=(95.5/75.75)*x       - we multiply both sides of the equation by x
100=1.2607260726073*x       - we divide both sides of the equation by (1.2607260726073) to get x
100/1.2607260726073=x
79.319371727749=x
x=79.319371727749

now we have:
75.75 is 79.319371727749% of 95.5