What is 133.333333333 percent of 0.022 - 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 0.022 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 0.022 is 100%, so we can write it down as 0.022=100%.
4. We know, that x is 133.333333333% of the output value, so we can write it down as x=133.333333333%.
5. Now we have two simple equations:
1) 0.022=100%
2) x=133.333333333%
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:
0.022/x=100%/133.333333333%
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 133.333333333% of 0.022

0.022/x=100/133.333333333
(0.022/x)*x=(100/133.333333333)*x       - we multiply both sides of the equation by x
0.022=0.75000000000187*x       - we divide both sides of the equation by (0.75000000000187) to get x
0.022/0.75000000000187=x
0.02933333333326=x
x=0.02933333333326

now we have:
133.333333333% of 0.022=0.02933333333326