47 is what percent of 1416 - 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 1416 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 1416, so we can write it down as 100%=1416.
4. We know, that x% equals 47 of the output value, so we can write it down as x%=47.
5. Now we have two simple equations:
1) 100%=1416
2) x%=47
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%=1416/47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47 is what percent of 1416

100%/x%=1416/47
(100/x)*x=(1416/47)*x       - we multiply both sides of the equation by x
100=30.127659574468*x       - we divide both sides of the equation by (30.127659574468) to get x
100/30.127659574468=x
3.319209039548=x
x=3.319209039548

now we have:
47 is 3.319209039548% of 1416