What is 3 percent of 402.54 - 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 402.54 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 402.54 is 100%, so we can write it down as 402.54=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) 402.54=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:
402.54/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 402.54

402.54/x=100/3
(402.54/x)*x=(100/3)*x       - we multiply both sides of the equation by x
402.54=33.333333333333*x       - we divide both sides of the equation by (33.333333333333) to get x
402.54/33.333333333333=x
12.0762=x
x=12.0762

now we have:
3% of 402.54=12.0762