20821.02 is what percent of 21245.94 - 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 21245.94 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 21245.94, so we can write it down as 100%=21245.94.
4. We know, that x% equals 20821.02 of the output value, so we can write it down as x%=20821.02.
5. Now we have two simple equations:
1) 100%=21245.94
2) x%=20821.02
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%=21245.94/20821.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20821.02 is what percent of 21245.94

100%/x%=21245.94/20821.02
(100/x)*x=(21245.94/20821.02)*x       - we multiply both sides of the equation by x
100=1.0204082220756*x       - we divide both sides of the equation by (1.0204082220756) to get x
100/1.0204082220756=x
97.999994351862=x
x=97.999994351862

now we have:
20821.02 is 97.999994351862% of 21245.94