What is 0.333 percent of 4.222 - 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 4.222 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 4.222 is 100%, so we can write it down as 4.222=100%.
4. We know, that x is 0.333% of the output value, so we can write it down as x=0.333%.
5. Now we have two simple equations:
1) 4.222=100%
2) x=0.333%
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:
4.222/x=100%/0.333%
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 0.333% of 4.222

4.222/x=100/0.333
(4.222/x)*x=(100/0.333)*x       - we multiply both sides of the equation by x
4.222=300.3003003003*x       - we divide both sides of the equation by (300.3003003003) to get x
4.222/300.3003003003=x
0.01405926=x
x=0.01405926

now we have:
0.333% of 4.222=0.01405926