156 is what percent of 406 - 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 406 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 406, so we can write it down as 100%=406.
4. We know, that x% equals 156 of the output value, so we can write it down as x%=156.
5. Now we have two simple equations:
1) 100%=406
2) x%=156
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%=406/156
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156 is what percent of 406

100%/x%=406/156
(100/x)*x=(406/156)*x       - we multiply both sides of the equation by x
100=2.6025641025641*x       - we divide both sides of the equation by (2.6025641025641) to get x
100/2.6025641025641=x
38.423645320197=x
x=38.423645320197

now we have:
156 is 38.423645320197% of 406