21.12 is what percent of 25.61 - 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 25.61 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 25.61, so we can write it down as 100%=25.61.
4. We know, that x% equals 21.12 of the output value, so we can write it down as x%=21.12.
5. Now we have two simple equations:
1) 100%=25.61
2) x%=21.12
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%=25.61/21.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.12 is what percent of 25.61

100%/x%=25.61/21.12
(100/x)*x=(25.61/21.12)*x       - we multiply both sides of the equation by x
100=1.2125946969697*x       - we divide both sides of the equation by (1.2125946969697) to get x
100/1.2125946969697=x
82.467786021086=x
x=82.467786021086

now we have:
21.12 is 82.467786021086% of 25.61