What is 4.82 percent of 1.46 - 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 1.46 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 1.46 is 100%, so we can write it down as 1.46=100%.
4. We know, that x is 4.82% of the output value, so we can write it down as x=4.82%.
5. Now we have two simple equations:
1) 1.46=100%
2) x=4.82%
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:
1.46/x=100%/4.82%
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 4.82% of 1.46

1.46/x=100/4.82
(1.46/x)*x=(100/4.82)*x       - we multiply both sides of the equation by x
1.46=20.746887966805*x       - we divide both sides of the equation by (20.746887966805) to get x
1.46/20.746887966805=x
0.070372=x
x=0.070372

now we have:
4.82% of 1.46=0.070372