42.08 is what percent of 74.99 - 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 74.99 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 74.99, so we can write it down as 100%=74.99.
4. We know, that x% equals 42.08 of the output value, so we can write it down as x%=42.08.
5. Now we have two simple equations:
1) 100%=74.99
2) x%=42.08
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%=74.99/42.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.08 is what percent of 74.99

100%/x%=74.99/42.08
(100/x)*x=(74.99/42.08)*x       - we multiply both sides of the equation by x
100=1.7820817490494*x       - we divide both sides of the equation by (1.7820817490494) to get x
100/1.7820817490494=x
56.11414855314=x
x=56.11414855314

now we have:
42.08 is 56.11414855314% of 74.99