28.62 is what percent of 1897.5 - 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 1897.5 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 1897.5, so we can write it down as 100%=1897.5.
4. We know, that x% equals 28.62 of the output value, so we can write it down as x%=28.62.
5. Now we have two simple equations:
1) 100%=1897.5
2) x%=28.62
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%=1897.5/28.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.62 is what percent of 1897.5

100%/x%=1897.5/28.62
(100/x)*x=(1897.5/28.62)*x       - we multiply both sides of the equation by x
100=66.299790356394*x       - we divide both sides of the equation by (66.299790356394) to get x
100/66.299790356394=x
1.5083003952569=x
x=1.5083003952569

now we have:
28.62 is 1.5083003952569% of 1897.5