19.25 is what percent of 22.25 - 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 22.25 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 22.25, so we can write it down as 100%=22.25.
4. We know, that x% equals 19.25 of the output value, so we can write it down as x%=19.25.
5. Now we have two simple equations:
1) 100%=22.25
2) x%=19.25
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%=22.25/19.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.25 is what percent of 22.25

100%/x%=22.25/19.25
(100/x)*x=(22.25/19.25)*x       - we multiply both sides of the equation by x
100=1.1558441558442*x       - we divide both sides of the equation by (1.1558441558442) to get x
100/1.1558441558442=x
86.516853932584=x
x=86.516853932584

now we have:
19.25 is 86.516853932584% of 22.25