What is 412.5 percent of 25.4 - 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 25.4 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 25.4 is 100%, so we can write it down as 25.4=100%.
4. We know, that x is 412.5% of the output value, so we can write it down as x=412.5%.
5. Now we have two simple equations:
1) 25.4=100%
2) x=412.5%
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:
25.4/x=100%/412.5%
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 412.5% of 25.4

25.4/x=100/412.5
(25.4/x)*x=(100/412.5)*x       - we multiply both sides of the equation by x
25.4=0.24242424242424*x       - we divide both sides of the equation by (0.24242424242424) to get x
25.4/0.24242424242424=x
104.775=x
x=104.775

now we have:
412.5% of 25.4=104.775