What is 1.25 percent of 402.56 - 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 402.56 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 402.56 is 100%, so we can write it down as 402.56=100%.
4. We know, that x is 1.25% of the output value, so we can write it down as x=1.25%.
5. Now we have two simple equations:
1) 402.56=100%
2) x=1.25%
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:
402.56/x=100%/1.25%
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 1.25% of 402.56

402.56/x=100/1.25
(402.56/x)*x=(100/1.25)*x       - we multiply both sides of the equation by x
402.56=80*x       - we divide both sides of the equation by (80) to get x
402.56/80=x
5.032=x
x=5.032

now we have:
1.25% of 402.56=5.032