What is 72.2 percent of 0.6 - 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 0.6 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 0.6 is 100%, so we can write it down as 0.6=100%.
4. We know, that x is 72.2% of the output value, so we can write it down as x=72.2%.
5. Now we have two simple equations:
1) 0.6=100%
2) x=72.2%
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:
0.6/x=100%/72.2%
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 72.2% of 0.6

0.6/x=100/72.2
(0.6/x)*x=(100/72.2)*x       - we multiply both sides of the equation by x
0.6=1.3850415512465*x       - we divide both sides of the equation by (1.3850415512465) to get x
0.6/1.3850415512465=x
0.4332=x
x=0.4332

now we have:
72.2% of 0.6=0.4332