What is 1.468 percent of 3.2 - 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 3.2 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 3.2 is 100%, so we can write it down as 3.2=100%.
4. We know, that x is 1.468% of the output value, so we can write it down as x=1.468%.
5. Now we have two simple equations:
1) 3.2=100%
2) x=1.468%
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:
3.2/x=100%/1.468%
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 1.468% of 3.2

3.2/x=100/1.468
(3.2/x)*x=(100/1.468)*x       - we multiply both sides of the equation by x
3.2=68.119891008174*x       - we divide both sides of the equation by (68.119891008174) to get x
3.2/68.119891008174=x
0.046976=x
x=0.046976

now we have:
1.468% of 3.2=0.046976