371.88 is what percent of 2166.67 - 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 2166.67 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 2166.67, so we can write it down as 100%=2166.67.
4. We know, that x% equals 371.88 of the output value, so we can write it down as x%=371.88.
5. Now we have two simple equations:
1) 100%=2166.67
2) x%=371.88
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%=2166.67/371.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 371.88 is what percent of 2166.67

100%/x%=2166.67/371.88
(100/x)*x=(2166.67/371.88)*x       - we multiply both sides of the equation by x
100=5.8262611595138*x       - we divide both sides of the equation by (5.8262611595138) to get x
100/5.8262611595138=x
17.163665902052=x
x=17.163665902052

now we have:
371.88 is 17.163665902052% of 2166.67