288.8 is what percent of 495 - 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 495 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 495, so we can write it down as 100%=495.
4. We know, that x% equals 288.8 of the output value, so we can write it down as x%=288.8.
5. Now we have two simple equations:
1) 100%=495
2) x%=288.8
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%=495/288.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.8 is what percent of 495

100%/x%=495/288.8
(100/x)*x=(495/288.8)*x       - we multiply both sides of the equation by x
100=1.7139889196676*x       - we divide both sides of the equation by (1.7139889196676) to get x
100/1.7139889196676=x
58.343434343434=x
x=58.343434343434

now we have:
288.8 is 58.343434343434% of 495