21 is what percent of 2446 - 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 2446 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 2446, so we can write it down as 100%=2446.
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%=2446
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%=2446/21
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 2446

100%/x%=2446/21
(100/x)*x=(2446/21)*x       - we multiply both sides of the equation by x
100=116.47619047619*x       - we divide both sides of the equation by (116.47619047619) to get x
100/116.47619047619=x
0.8585445625511=x
x=0.8585445625511

now we have:
21 is 0.8585445625511% of 2446