What is 0.02 percent of 0.46 - 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 0.46 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 0.46 is 100%, so we can write it down as 0.46=100%.
4. We know, that x is 0.02% of the output value, so we can write it down as x=0.02%.
5. Now we have two simple equations:
1) 0.46=100%
2) x=0.02%
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:
0.46/x=100%/0.02%
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 0.02% of 0.46

0.46/x=100/0.02
(0.46/x)*x=(100/0.02)*x       - we multiply both sides of the equation by x
0.46=5000*x       - we divide both sides of the equation by (5000) to get x
0.46/5000=x
9.2E-5=x
x=9.2E-5

now we have:
0.02% of 0.46=9.2E-5