21 is what percent of 6600 - 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 6600 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 6600, so we can write it down as 100%=6600.
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%=6600
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%=6600/21
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 6600

100%/x%=6600/21
(100/x)*x=(6600/21)*x       - we multiply both sides of the equation by x
100=314.28571428571*x       - we divide both sides of the equation by (314.28571428571) to get x
100/314.28571428571=x
0.31818181818182=x
x=0.31818181818182

now we have:
21 is 0.31818181818182% of 6600