282.5 is what percent of 320 - 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 320 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 320, so we can write it down as 100%=320.
4. We know, that x% equals 282.5 of the output value, so we can write it down as x%=282.5.
5. Now we have two simple equations:
1) 100%=320
2) x%=282.5
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%=320/282.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 282.5 is what percent of 320

100%/x%=320/282.5
(100/x)*x=(320/282.5)*x       - we multiply both sides of the equation by x
100=1.1327433628319*x       - we divide both sides of the equation by (1.1327433628319) to get x
100/1.1327433628319=x
88.28125=x
x=88.28125

now we have:
282.5 is 88.28125% of 320