482.02 is what percent of 2385.39 - 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 2385.39 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 2385.39, so we can write it down as 100%=2385.39.
4. We know, that x% equals 482.02 of the output value, so we can write it down as x%=482.02.
5. Now we have two simple equations:
1) 100%=2385.39
2) x%=482.02
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%=2385.39/482.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.02 is what percent of 2385.39

100%/x%=2385.39/482.02
(100/x)*x=(2385.39/482.02)*x       - we multiply both sides of the equation by x
100=4.9487365669474*x       - we divide both sides of the equation by (4.9487365669474) to get x
100/4.9487365669474=x
20.207177861901=x
x=20.207177861901

now we have:
482.02 is 20.207177861901% of 2385.39