What is 1.28 percent of 0.35 - 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 0.35 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 0.35 is 100%, so we can write it down as 0.35=100%.
4. We know, that x is 1.28% of the output value, so we can write it down as x=1.28%.
5. Now we have two simple equations:
1) 0.35=100%
2) x=1.28%
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:
0.35/x=100%/1.28%
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 1.28% of 0.35

0.35/x=100/1.28
(0.35/x)*x=(100/1.28)*x       - we multiply both sides of the equation by x
0.35=78.125*x       - we divide both sides of the equation by (78.125) to get x
0.35/78.125=x
0.00448=x
x=0.00448

now we have:
1.28% of 0.35=0.00448