46 is what percent of 413 - 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 413 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 413, so we can write it down as 100%=413.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=413
2) x%=46
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%=413/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 413

100%/x%=413/46
(100/x)*x=(413/46)*x       - we multiply both sides of the equation by x
100=8.9782608695652*x       - we divide both sides of the equation by (8.9782608695652) to get x
100/8.9782608695652=x
11.138014527845=x
x=11.138014527845

now we have:
46 is 11.138014527845% of 413