21 is what percent of 2814 - 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 2814 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 2814, so we can write it down as 100%=2814.
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%=2814
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%=2814/21
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 2814

100%/x%=2814/21
(100/x)*x=(2814/21)*x       - we multiply both sides of the equation by x
100=134*x       - we divide both sides of the equation by (134) to get x
100/134=x
0.74626865671642=x
x=0.74626865671642

now we have:
21 is 0.74626865671642% of 2814