21 is what percent of 6629 - 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 6629 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 6629, so we can write it down as 100%=6629.
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%=6629
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%=6629/21
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 6629

100%/x%=6629/21
(100/x)*x=(6629/21)*x       - we multiply both sides of the equation by x
100=315.66666666667*x       - we divide both sides of the equation by (315.66666666667) to get x
100/315.66666666667=x
0.31678986272439=x
x=0.31678986272439

now we have:
21 is 0.31678986272439% of 6629