42 is what percent of 99.12 - 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 99.12 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 99.12, so we can write it down as 100%=99.12.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=99.12
2) x%=42
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%=99.12/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 99.12

100%/x%=99.12/42
(100/x)*x=(99.12/42)*x       - we multiply both sides of the equation by x
100=2.36*x       - we divide both sides of the equation by (2.36) to get x
100/2.36=x
42.372881355932=x
x=42.372881355932

now we have:
42 is 42.372881355932% of 99.12