21 is what percent of 63.68 - 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 63.68 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 63.68, so we can write it down as 100%=63.68.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=63.68
2) x%=21
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%=63.68/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 63.68

100%/x%=63.68/21
(100/x)*x=(63.68/21)*x       - we multiply both sides of the equation by x
100=3.032380952381*x       - we divide both sides of the equation by (3.032380952381) to get x
100/3.032380952381=x
32.977386934673=x
x=32.977386934673

now we have:
21 is 32.977386934673% of 63.68