384.92 is what percent of 5183.9 - 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 5183.9 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 5183.9, so we can write it down as 100%=5183.9.
4. We know, that x% equals 384.92 of the output value, so we can write it down as x%=384.92.
5. Now we have two simple equations:
1) 100%=5183.9
2) x%=384.92
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%=5183.9/384.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 384.92 is what percent of 5183.9

100%/x%=5183.9/384.92
(100/x)*x=(5183.9/384.92)*x       - we multiply both sides of the equation by x
100=13.467473760781*x       - we divide both sides of the equation by (13.467473760781) to get x
100/13.467473760781=x
7.4252975558942=x
x=7.4252975558942

now we have:
384.92 is 7.4252975558942% of 5183.9