21.08 is what percent of 1444.52 - 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 1444.52 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 1444.52, so we can write it down as 100%=1444.52.
4. We know, that x% equals 21.08 of the output value, so we can write it down as x%=21.08.
5. Now we have two simple equations:
1) 100%=1444.52
2) x%=21.08
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%=1444.52/21.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.08 is what percent of 1444.52

100%/x%=1444.52/21.08
(100/x)*x=(1444.52/21.08)*x       - we multiply both sides of the equation by x
100=68.525616698292*x       - we divide both sides of the equation by (68.525616698292) to get x
100/68.525616698292=x
1.459308282336=x
x=1.459308282336

now we have:
21.08 is 1.459308282336% of 1444.52