What is 0.24 percent of 338.523 - 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 338.523 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 338.523 is 100%, so we can write it down as 338.523=100%.
4. We know, that x is 0.24% of the output value, so we can write it down as x=0.24%.
5. Now we have two simple equations:
1) 338.523=100%
2) x=0.24%
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:
338.523/x=100%/0.24%
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 0.24% of 338.523

338.523/x=100/0.24
(338.523/x)*x=(100/0.24)*x       - we multiply both sides of the equation by x
338.523=416.66666666667*x       - we divide both sides of the equation by (416.66666666667) to get x
338.523/416.66666666667=x
0.8124552=x
x=0.8124552

now we have:
0.24% of 338.523=0.8124552