What is 1.387 percent of 3.466 - 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 3.466 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 3.466 is 100%, so we can write it down as 3.466=100%.
4. We know, that x is 1.387% of the output value, so we can write it down as x=1.387%.
5. Now we have two simple equations:
1) 3.466=100%
2) x=1.387%
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:
3.466/x=100%/1.387%
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 1.387% of 3.466

3.466/x=100/1.387
(3.466/x)*x=(100/1.387)*x       - we multiply both sides of the equation by x
3.466=72.098053352559*x       - we divide both sides of the equation by (72.098053352559) to get x
3.466/72.098053352559=x
0.04807342=x
x=0.04807342

now we have:
1.387% of 3.466=0.04807342