21.83 is what percent of 972.59 - 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 972.59 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 972.59, so we can write it down as 100%=972.59.
4. We know, that x% equals 21.83 of the output value, so we can write it down as x%=21.83.
5. Now we have two simple equations:
1) 100%=972.59
2) x%=21.83
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%=972.59/21.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.83 is what percent of 972.59

100%/x%=972.59/21.83
(100/x)*x=(972.59/21.83)*x       - we multiply both sides of the equation by x
100=44.552908841044*x       - we divide both sides of the equation by (44.552908841044) to get x
100/44.552908841044=x
2.2445223578281=x
x=2.2445223578281

now we have:
21.83 is 2.2445223578281% of 972.59