53.75 is what percent of 42.08 - 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 42.08 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 42.08, so we can write it down as 100%=42.08.
4. We know, that x% equals 53.75 of the output value, so we can write it down as x%=53.75.
5. Now we have two simple equations:
1) 100%=42.08
2) x%=53.75
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%=42.08/53.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.75 is what percent of 42.08

100%/x%=42.08/53.75
(100/x)*x=(42.08/53.75)*x       - we multiply both sides of the equation by x
100=0.78288372093023*x       - we divide both sides of the equation by (0.78288372093023) to get x
100/0.78288372093023=x
127.73288973384=x
x=127.73288973384

now we have:
53.75 is 127.73288973384% of 42.08