What is 24.4 percent of 460.77 - 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 460.77 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 460.77 is 100%, so we can write it down as 460.77=100%.
4. We know, that x is 24.4% of the output value, so we can write it down as x=24.4%.
5. Now we have two simple equations:
1) 460.77=100%
2) x=24.4%
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:
460.77/x=100%/24.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 24.4% of 460.77

460.77/x=100/24.4
(460.77/x)*x=(100/24.4)*x       - we multiply both sides of the equation by x
460.77=4.0983606557377*x       - we divide both sides of the equation by (4.0983606557377) to get x
460.77/4.0983606557377=x
112.42788=x
x=112.42788

now we have:
24.4% of 460.77=112.42788