What is 22.3 percent of 0.101 - 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 0.101 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 0.101 is 100%, so we can write it down as 0.101=100%.
4. We know, that x is 22.3% of the output value, so we can write it down as x=22.3%.
5. Now we have two simple equations:
1) 0.101=100%
2) x=22.3%
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:
0.101/x=100%/22.3%
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 22.3% of 0.101

0.101/x=100/22.3
(0.101/x)*x=(100/22.3)*x       - we multiply both sides of the equation by x
0.101=4.4843049327354*x       - we divide both sides of the equation by (4.4843049327354) to get x
0.101/4.4843049327354=x
0.022523=x
x=0.022523

now we have:
22.3% of 0.101=0.022523