23.85 is what percent of 4 - 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 4 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 4, so we can write it down as 100%=4.
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%=4
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%=4/23.85
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 4

100%/x%=4/23.85
(100/x)*x=(4/23.85)*x       - we multiply both sides of the equation by x
100=0.16771488469602*x       - we divide both sides of the equation by (0.16771488469602) to get x
100/0.16771488469602=x
596.25=x
x=596.25

now we have:
23.85 is 596.25% of 4