What is 10.25 percent of 414.8 - 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 414.8 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 414.8 is 100%, so we can write it down as 414.8=100%.
4. We know, that x is 10.25% of the output value, so we can write it down as x=10.25%.
5. Now we have two simple equations:
1) 414.8=100%
2) x=10.25%
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:
414.8/x=100%/10.25%
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 10.25% of 414.8

414.8/x=100/10.25
(414.8/x)*x=(100/10.25)*x       - we multiply both sides of the equation by x
414.8=9.7560975609756*x       - we divide both sides of the equation by (9.7560975609756) to get x
414.8/9.7560975609756=x
42.517=x
x=42.517

now we have:
10.25% of 414.8=42.517