What is 25.4 percent of 407.5 - 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 407.5 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 407.5 is 100%, so we can write it down as 407.5=100%.
4. We know, that x is 25.4% of the output value, so we can write it down as x=25.4%.
5. Now we have two simple equations:
1) 407.5=100%
2) x=25.4%
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:
407.5/x=100%/25.4%
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 25.4% of 407.5

407.5/x=100/25.4
(407.5/x)*x=(100/25.4)*x       - we multiply both sides of the equation by x
407.5=3.9370078740157*x       - we divide both sides of the equation by (3.9370078740157) to get x
407.5/3.9370078740157=x
103.505=x
x=103.505

now we have:
25.4% of 407.5=103.505