21.8 is what percent of 96.8 - 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 96.8 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 96.8, so we can write it down as 100%=96.8.
4. We know, that x% equals 21.8 of the output value, so we can write it down as x%=21.8.
5. Now we have two simple equations:
1) 100%=96.8
2) x%=21.8
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%=96.8/21.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.8 is what percent of 96.8

100%/x%=96.8/21.8
(100/x)*x=(96.8/21.8)*x       - we multiply both sides of the equation by x
100=4.4403669724771*x       - we divide both sides of the equation by (4.4403669724771) to get x
100/4.4403669724771=x
22.520661157025=x
x=22.520661157025

now we have:
21.8 is 22.520661157025% of 96.8