42.25 is what percent of 40 - 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 40 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 40, so we can write it down as 100%=40.
4. We know, that x% equals 42.25 of the output value, so we can write it down as x%=42.25.
5. Now we have two simple equations:
1) 100%=40
2) x%=42.25
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%=40/42.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.25 is what percent of 40

100%/x%=40/42.25
(100/x)*x=(40/42.25)*x       - we multiply both sides of the equation by x
100=0.94674556213018*x       - we divide both sides of the equation by (0.94674556213018) to get x
100/0.94674556213018=x
105.625=x
x=105.625

now we have:
42.25 is 105.625% of 40