What is 3.333 percent of 3 - 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 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 is 100%, so we can write it down as 3=100%.
4. We know, that x is 3.333% of the output value, so we can write it down as x=3.333%.
5. Now we have two simple equations:
1) 3=100%
2) x=3.333%
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/x=100%/3.333%
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 3.333% of 3

3/x=100/3.333
(3/x)*x=(100/3.333)*x       - we multiply both sides of the equation by x
3=30.00300030003*x       - we divide both sides of the equation by (30.00300030003) to get x
3/30.00300030003=x
0.09999=x
x=0.09999

now we have:
3.333% of 3=0.09999