317.75 is what percent of 1886.57 - 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 1886.57 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 1886.57, so we can write it down as 100%=1886.57.
4. We know, that x% equals 317.75 of the output value, so we can write it down as x%=317.75.
5. Now we have two simple equations:
1) 100%=1886.57
2) x%=317.75
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%=1886.57/317.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 317.75 is what percent of 1886.57

100%/x%=1886.57/317.75
(100/x)*x=(1886.57/317.75)*x       - we multiply both sides of the equation by x
100=5.9372777340677*x       - we divide both sides of the equation by (5.9372777340677) to get x
100/5.9372777340677=x
16.842735758546=x
x=16.842735758546

now we have:
317.75 is 16.842735758546% of 1886.57