17.88 is what percent of 20.21 - 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 20.21 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 20.21, so we can write it down as 100%=20.21.
4. We know, that x% equals 17.88 of the output value, so we can write it down as x%=17.88.
5. Now we have two simple equations:
1) 100%=20.21
2) x%=17.88
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%=20.21/17.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.88 is what percent of 20.21

100%/x%=20.21/17.88
(100/x)*x=(20.21/17.88)*x       - we multiply both sides of the equation by x
100=1.1303131991051*x       - we divide both sides of the equation by (1.1303131991051) to get x
100/1.1303131991051=x
88.471053933696=x
x=88.471053933696

now we have:
17.88 is 88.471053933696% of 20.21