42 is what percent of 37.5 - 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 37.5 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 37.5, so we can write it down as 100%=37.5.
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%=37.5
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%=37.5/42
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 37.5

100%/x%=37.5/42
(100/x)*x=(37.5/42)*x       - we multiply both sides of the equation by x
100=0.89285714285714*x       - we divide both sides of the equation by (0.89285714285714) to get x
100/0.89285714285714=x
112=x
x=112

now we have:
42 is 112% of 37.5