22.71 is what percent of 110.24 - 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 110.24 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 110.24, so we can write it down as 100%=110.24.
4. We know, that x% equals 22.71 of the output value, so we can write it down as x%=22.71.
5. Now we have two simple equations:
1) 100%=110.24
2) x%=22.71
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%=110.24/22.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.71 is what percent of 110.24

100%/x%=110.24/22.71
(100/x)*x=(110.24/22.71)*x       - we multiply both sides of the equation by x
100=4.8542492294144*x       - we divide both sides of the equation by (4.8542492294144) to get x
100/4.8542492294144=x
20.600507982583=x
x=20.600507982583

now we have:
22.71 is 20.600507982583% of 110.24