282.69 is what percent of 718.07 - 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 718.07 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 718.07, so we can write it down as 100%=718.07.
4. We know, that x% equals 282.69 of the output value, so we can write it down as x%=282.69.
5. Now we have two simple equations:
1) 100%=718.07
2) x%=282.69
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%=718.07/282.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 282.69 is what percent of 718.07

100%/x%=718.07/282.69
(100/x)*x=(718.07/282.69)*x       - we multiply both sides of the equation by x
100=2.5401323003997*x       - we divide both sides of the equation by (2.5401323003997) to get x
100/2.5401323003997=x
39.368028186667=x
x=39.368028186667

now we have:
282.69 is 39.368028186667% of 718.07