What is 3 percent of 407.25 - 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 407.25 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 407.25 is 100%, so we can write it down as 407.25=100%.
4. We know, that x is 3% of the output value, so we can write it down as x=3%.
5. Now we have two simple equations:
1) 407.25=100%
2) x=3%
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:
407.25/x=100%/3%
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 3% of 407.25

407.25/x=100/3
(407.25/x)*x=(100/3)*x       - we multiply both sides of the equation by x
407.25=33.333333333333*x       - we divide both sides of the equation by (33.333333333333) to get x
407.25/33.333333333333=x
12.2175=x
x=12.2175

now we have:
3% of 407.25=12.2175