201.38 is what percent of 1669.8 - 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 1669.8 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 1669.8, so we can write it down as 100%=1669.8.
4. We know, that x% equals 201.38 of the output value, so we can write it down as x%=201.38.
5. Now we have two simple equations:
1) 100%=1669.8
2) x%=201.38
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%=1669.8/201.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 201.38 is what percent of 1669.8

100%/x%=1669.8/201.38
(100/x)*x=(1669.8/201.38)*x       - we multiply both sides of the equation by x
100=8.2917866719635*x       - we divide both sides of the equation by (8.2917866719635) to get x
100/8.2917866719635=x
12.060126961313=x
x=12.060126961313

now we have:
201.38 is 12.060126961313% of 1669.8