23.85 is what percent of 521.07 - 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 521.07 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 521.07, so we can write it down as 100%=521.07.
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%=521.07
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%=521.07/23.85
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 521.07

100%/x%=521.07/23.85
(100/x)*x=(521.07/23.85)*x       - we multiply both sides of the equation by x
100=21.847798742138*x       - we divide both sides of the equation by (21.847798742138) to get x
100/21.847798742138=x
4.5771201566008=x
x=4.5771201566008

now we have:
23.85 is 4.5771201566008% of 521.07