2.2 is what percent of 2.26 - 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 2.26 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 2.26, so we can write it down as 100%=2.26.
4. We know, that x% equals 2.2 of the output value, so we can write it down as x%=2.2.
5. Now we have two simple equations:
1) 100%=2.26
2) x%=2.2
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%=2.26/2.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.2 is what percent of 2.26

100%/x%=2.26/2.2
(100/x)*x=(2.26/2.2)*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:
2.2 is 97.345132743363% of 2.26