289.62 is what percent of 384.8 - 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 384.8 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 384.8, so we can write it down as 100%=384.8.
4. We know, that x% equals 289.62 of the output value, so we can write it down as x%=289.62.
5. Now we have two simple equations:
1) 100%=384.8
2) x%=289.62
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%=384.8/289.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 289.62 is what percent of 384.8

100%/x%=384.8/289.62
(100/x)*x=(384.8/289.62)*x       - we multiply both sides of the equation by x
100=1.3286375250328*x       - we divide both sides of the equation by (1.3286375250328) to get x
100/1.3286375250328=x
75.265072765073=x
x=75.265072765073

now we have:
289.62 is 75.265072765073% of 384.8