10 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 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=406
2) x%=10
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%=406/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 406

100%/x%=406/10
(100/x)*x=(406/10)*x       - we multiply both sides of the equation by x
100=40.6*x       - we divide both sides of the equation by (40.6) to get x
100/40.6=x
2.4630541871921=x
x=2.4630541871921

now we have:
10 is 2.4630541871921% of 406