79.95 is what percent of 109.75 - 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 109.75 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 109.75, so we can write it down as 100%=109.75.
4. We know, that x% equals 79.95 of the output value, so we can write it down as x%=79.95.
5. Now we have two simple equations:
1) 100%=109.75
2) x%=79.95
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%=109.75/79.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.95 is what percent of 109.75

100%/x%=109.75/79.95
(100/x)*x=(109.75/79.95)*x       - we multiply both sides of the equation by x
100=1.3727329580988*x       - we divide both sides of the equation by (1.3727329580988) to get x
100/1.3727329580988=x
72.847380410023=x
x=72.847380410023

now we have:
79.95 is 72.847380410023% of 109.75