287.56 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 287.56 of the output value, so we can write it down as x%=287.56.
5. Now we have two simple equations:
1) 100%=9
2) x%=287.56
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%=9/287.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 287.56 is what percent of 9

100%/x%=9/287.56
(100/x)*x=(9/287.56)*x       - we multiply both sides of the equation by x
100=0.031297816107943*x       - we divide both sides of the equation by (0.031297816107943) to get x
100/0.031297816107943=x
3195.1111111111=x
x=3195.1111111111

now we have:
287.56 is 3195.1111111111% of 9