480 is what percent of 864 - 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 864 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 864, so we can write it down as 100%=864.
4. We know, that x% equals 480 of the output value, so we can write it down as x%=480.
5. Now we have two simple equations:
1) 100%=864
2) x%=480
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%=864/480
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 480 is what percent of 864

100%/x%=864/480
(100/x)*x=(864/480)*x       - we multiply both sides of the equation by x
100=1.8*x       - we divide both sides of the equation by (1.8) to get x
100/1.8=x
55.555555555556=x
x=55.555555555556

now we have:
480 is 55.555555555556% of 864