23.85 is what percent of 475.7 - 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 475.7 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 475.7, so we can write it down as 100%=475.7.
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%=475.7
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%=475.7/23.85
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 475.7

100%/x%=475.7/23.85
(100/x)*x=(475.7/23.85)*x       - we multiply both sides of the equation by x
100=19.945492662474*x       - we divide both sides of the equation by (19.945492662474) to get x
100/19.945492662474=x
5.0136640739962=x
x=5.0136640739962

now we have:
23.85 is 5.0136640739962% of 475.7