288.58 is what percent of 384.77 - 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 384.77 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 384.77, so we can write it down as 100%=384.77.
4. We know, that x% equals 288.58 of the output value, so we can write it down as x%=288.58.
5. Now we have two simple equations:
1) 100%=384.77
2) x%=288.58
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%=384.77/288.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.58 is what percent of 384.77

100%/x%=384.77/288.58
(100/x)*x=(384.77/288.58)*x       - we multiply both sides of the equation by x
100=1.3333217825213*x       - we divide both sides of the equation by (1.3333217825213) to get x
100/1.3333217825213=x
75.000649738805=x
x=75.000649738805

now we have:
288.58 is 75.000649738805% of 384.77