287.67 is what percent of 720.828 - 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 720.828 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 720.828, so we can write it down as 100%=720.828.
4. We know, that x% equals 287.67 of the output value, so we can write it down as x%=287.67.
5. Now we have two simple equations:
1) 100%=720.828
2) x%=287.67
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%=720.828/287.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 287.67 is what percent of 720.828

100%/x%=720.828/287.67
(100/x)*x=(720.828/287.67)*x       - we multiply both sides of the equation by x
100=2.5057461674836*x       - we divide both sides of the equation by (2.5057461674836) to get x
100/2.5057461674836=x
39.90827215369=x
x=39.90827215369

now we have:
287.67 is 39.90827215369% of 720.828