What is 1.40625 percent of 1280 - 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 1280 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 1280 is 100%, so we can write it down as 1280=100%.
4. We know, that x is 1.40625% of the output value, so we can write it down as x=1.40625%.
5. Now we have two simple equations:
1) 1280=100%
2) x=1.40625%
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:
1280/x=100%/1.40625%
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 1.40625% of 1280

1280/x=100/1.40625
(1280/x)*x=(100/1.40625)*x       - we multiply both sides of the equation by x
1280=71.111111111111*x       - we divide both sides of the equation by (71.111111111111) to get x
1280/71.111111111111=x
18=x
x=18

now we have:
1.40625% of 1280=18