2100.38 is what percent of 20900 - 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 20900 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 20900, so we can write it down as 100%=20900.
4. We know, that x% equals 2100.38 of the output value, so we can write it down as x%=2100.38.
5. Now we have two simple equations:
1) 100%=20900
2) x%=2100.38
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%=20900/2100.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2100.38 is what percent of 20900

100%/x%=20900/2100.38
(100/x)*x=(20900/2100.38)*x       - we multiply both sides of the equation by x
100=9.9505803711709*x       - we divide both sides of the equation by (9.9505803711709) to get x
100/9.9505803711709=x
10.04966507177=x
x=10.04966507177

now we have:
2100.38 is 10.04966507177% of 20900