22 is what percent of 22.6 - 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 22.6 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 22.6, so we can write it down as 100%=22.6.
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%=22.6
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%=22.6/22
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 22.6

100%/x%=22.6/22
(100/x)*x=(22.6/22)*x       - we multiply both sides of the equation by x
100=1.0272727272727*x       - we divide both sides of the equation by (1.0272727272727) to get x
100/1.0272727272727=x
97.345132743363=x
x=97.345132743363

now we have:
22 is 97.345132743363% of 22.6