22.5 is what percent of 1942 - 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 1942 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 1942, so we can write it down as 100%=1942.
4. We know, that x% equals 22.5 of the output value, so we can write it down as x%=22.5.
5. Now we have two simple equations:
1) 100%=1942
2) x%=22.5
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%=1942/22.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.5 is what percent of 1942

100%/x%=1942/22.5
(100/x)*x=(1942/22.5)*x       - we multiply both sides of the equation by x
100=86.311111111111*x       - we divide both sides of the equation by (86.311111111111) to get x
100/86.311111111111=x
1.1585993820803=x
x=1.1585993820803

now we have:
22.5 is 1.1585993820803% of 1942