What is 5 percent of 458.325 - 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 458.325 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 458.325 is 100%, so we can write it down as 458.325=100%.
4. We know, that x is 5% of the output value, so we can write it down as x=5%.
5. Now we have two simple equations:
1) 458.325=100%
2) x=5%
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:
458.325/x=100%/5%
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 5% of 458.325

458.325/x=100/5
(458.325/x)*x=(100/5)*x       - we multiply both sides of the equation by x
458.325=20*x       - we divide both sides of the equation by (20) to get x
458.325/20=x
22.91625=x
x=22.91625

now we have:
5% of 458.325=22.91625