What is 0.07 percent of 40.6 - 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 40.6 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 40.6 is 100%, so we can write it down as 40.6=100%.
4. We know, that x is 0.07% of the output value, so we can write it down as x=0.07%.
5. Now we have two simple equations:
1) 40.6=100%
2) x=0.07%
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:
40.6/x=100%/0.07%
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 0.07% of 40.6

40.6/x=100/0.07
(40.6/x)*x=(100/0.07)*x       - we multiply both sides of the equation by x
40.6=1428.5714285714*x       - we divide both sides of the equation by (1428.5714285714) to get x
40.6/1428.5714285714=x
0.02842=x
x=0.02842

now we have:
0.07% of 40.6=0.02842