22.25 is what percent of 30.26 - 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 30.26 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 30.26, so we can write it down as 100%=30.26.
4. We know, that x% equals 22.25 of the output value, so we can write it down as x%=22.25.
5. Now we have two simple equations:
1) 100%=30.26
2) x%=22.25
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%=30.26/22.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.25 is what percent of 30.26

100%/x%=30.26/22.25
(100/x)*x=(30.26/22.25)*x       - we multiply both sides of the equation by x
100=1.36*x       - we divide both sides of the equation by (1.36) to get x
100/1.36=x
73.529411764706=x
x=73.529411764706

now we have:
22.25 is 73.529411764706% of 30.26