23.85 is what percent of 477.6 - 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 477.6 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 477.6, so we can write it down as 100%=477.6.
4. We know, that x% equals 23.85 of the output value, so we can write it down as x%=23.85.
5. Now we have two simple equations:
1) 100%=477.6
2) x%=23.85
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%=477.6/23.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.85 is what percent of 477.6

100%/x%=477.6/23.85
(100/x)*x=(477.6/23.85)*x       - we multiply both sides of the equation by x
100=20.025157232704*x       - we divide both sides of the equation by (20.025157232704) to get x
100/20.025157232704=x
4.9937185929648=x
x=4.9937185929648

now we have:
23.85 is 4.9937185929648% of 477.6