22.58 is what percent of 21.49 - 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 21.49 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 21.49, so we can write it down as 100%=21.49.
4. We know, that x% equals 22.58 of the output value, so we can write it down as x%=22.58.
5. Now we have two simple equations:
1) 100%=21.49
2) x%=22.58
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%=21.49/22.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.58 is what percent of 21.49

100%/x%=21.49/22.58
(100/x)*x=(21.49/22.58)*x       - we multiply both sides of the equation by x
100=0.95172719220549*x       - we divide both sides of the equation by (0.95172719220549) to get x
100/0.95172719220549=x
105.0721265705=x
x=105.0721265705

now we have:
22.58 is 105.0721265705% of 21.49