406 is what percent of 2 - 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 2 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 100% equals 2, so we can write it down as 100%=2.
4. We know, that x% equals 406 of the output value, so we can write it down as x%=406.
5. Now we have two simple equations:
1) 100%=2
2) x%=406
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:
100%/x%=2/406
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 406 is what percent of 2

100%/x%=2/406
(100/x)*x=(2/406)*x       - we multiply both sides of the equation by x
100=0.0049261083743842*x       - we divide both sides of the equation by (0.0049261083743842) to get x
100/0.0049261083743842=x
20300=x
x=20300

now we have:
406 is 20300% of 2