22 is what percent of 72.25 - 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 72.25 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 72.25, so we can write it down as 100%=72.25.
4. We know, that x% equals 22 of the output value, so we can write it down as x%=22.
5. Now we have two simple equations:
1) 100%=72.25
2) x%=22
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%=72.25/22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22 is what percent of 72.25

100%/x%=72.25/22
(100/x)*x=(72.25/22)*x       - we multiply both sides of the equation by x
100=3.2840909090909*x       - we divide both sides of the equation by (3.2840909090909) to get x
100/3.2840909090909=x
30.449826989619=x
x=30.449826989619

now we have:
22 is 30.449826989619% of 72.25