What is 105 percent of 460.375 - 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 460.375 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 460.375 is 100%, so we can write it down as 460.375=100%.
4. We know, that x is 105% of the output value, so we can write it down as x=105%.
5. Now we have two simple equations:
1) 460.375=100%
2) x=105%
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:
460.375/x=100%/105%
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 105% of 460.375

460.375/x=100/105
(460.375/x)*x=(100/105)*x       - we multiply both sides of the equation by x
460.375=0.95238095238095*x       - we divide both sides of the equation by (0.95238095238095) to get x
460.375/0.95238095238095=x
483.39375=x
x=483.39375

now we have:
105% of 460.375=483.39375