21 is what percent of 1441 - 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 1441 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 1441, so we can write it down as 100%=1441.
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%=1441
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%=1441/21
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 1441

100%/x%=1441/21
(100/x)*x=(1441/21)*x       - we multiply both sides of the equation by x
100=68.619047619048*x       - we divide both sides of the equation by (68.619047619048) to get x
100/68.619047619048=x
1.4573213046495=x
x=1.4573213046495

now we have:
21 is 1.4573213046495% of 1441