384.67 is what percent of 465.92 - 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 465.92 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 465.92, so we can write it down as 100%=465.92.
4. We know, that x% equals 384.67 of the output value, so we can write it down as x%=384.67.
5. Now we have two simple equations:
1) 100%=465.92
2) x%=384.67
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%=465.92/384.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 384.67 is what percent of 465.92

100%/x%=465.92/384.67
(100/x)*x=(465.92/384.67)*x       - we multiply both sides of the equation by x
100=1.211220006759*x       - we divide both sides of the equation by (1.211220006759) to get x
100/1.211220006759=x
82.561383928571=x
x=82.561383928571

now we have:
384.67 is 82.561383928571% of 465.92