21.98 is what percent of 28.24 - 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 28.24 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 28.24, so we can write it down as 100%=28.24.
4. We know, that x% equals 21.98 of the output value, so we can write it down as x%=21.98.
5. Now we have two simple equations:
1) 100%=28.24
2) x%=21.98
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%=28.24/21.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.98 is what percent of 28.24

100%/x%=28.24/21.98
(100/x)*x=(28.24/21.98)*x       - we multiply both sides of the equation by x
100=1.2848043676069*x       - we divide both sides of the equation by (1.2848043676069) to get x
100/1.2848043676069=x
77.832861189802=x
x=77.832861189802

now we have:
21.98 is 77.832861189802% of 28.24