What is 40000 percent of 0.042 - 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 0.042 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 0.042 is 100%, so we can write it down as 0.042=100%.
4. We know, that x is 40000% of the output value, so we can write it down as x=40000%.
5. Now we have two simple equations:
1) 0.042=100%
2) x=40000%
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:
0.042/x=100%/40000%
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 40000% of 0.042

0.042/x=100/40000
(0.042/x)*x=(100/40000)*x       - we multiply both sides of the equation by x
0.042=0.0025*x       - we divide both sides of the equation by (0.0025) to get x
0.042/0.0025=x
16.8=x
x=16.8

now we have:
40000% of 0.042=16.8