What is 0.21 percent of 12.345 - 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 12.345 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 12.345 is 100%, so we can write it down as 12.345=100%.
4. We know, that x is 0.21% of the output value, so we can write it down as x=0.21%.
5. Now we have two simple equations:
1) 12.345=100%
2) x=0.21%
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:
12.345/x=100%/0.21%
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 0.21% of 12.345

12.345/x=100/0.21
(12.345/x)*x=(100/0.21)*x       - we multiply both sides of the equation by x
12.345=476.19047619048*x       - we divide both sides of the equation by (476.19047619048) to get x
12.345/476.19047619048=x
0.0259245=x
x=0.0259245

now we have:
0.21% of 12.345=0.0259245