287.46 is what percent of 750 - 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 750 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 750, so we can write it down as 100%=750.
4. We know, that x% equals 287.46 of the output value, so we can write it down as x%=287.46.
5. Now we have two simple equations:
1) 100%=750
2) x%=287.46
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%=750/287.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 287.46 is what percent of 750

100%/x%=750/287.46
(100/x)*x=(750/287.46)*x       - we multiply both sides of the equation by x
100=2.6090586516385*x       - we divide both sides of the equation by (2.6090586516385) to get x
100/2.6090586516385=x
38.328=x
x=38.328

now we have:
287.46 is 38.328% of 750