22.35 is what percent of 26.96 - 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 26.96 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 26.96, so we can write it down as 100%=26.96.
4. We know, that x% equals 22.35 of the output value, so we can write it down as x%=22.35.
5. Now we have two simple equations:
1) 100%=26.96
2) x%=22.35
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%=26.96/22.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.35 is what percent of 26.96

100%/x%=26.96/22.35
(100/x)*x=(26.96/22.35)*x       - we multiply both sides of the equation by x
100=1.2062639821029*x       - we divide both sides of the equation by (1.2062639821029) to get x
100/1.2062639821029=x
82.90059347181=x
x=82.90059347181

now we have:
22.35 is 82.90059347181% of 26.96