47.65 is what percent of 1404.75 - 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 1404.75 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 1404.75, so we can write it down as 100%=1404.75.
4. We know, that x% equals 47.65 of the output value, so we can write it down as x%=47.65.
5. Now we have two simple equations:
1) 100%=1404.75
2) x%=47.65
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%=1404.75/47.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.65 is what percent of 1404.75

100%/x%=1404.75/47.65
(100/x)*x=(1404.75/47.65)*x       - we multiply both sides of the equation by x
100=29.480587618048*x       - we divide both sides of the equation by (29.480587618048) to get x
100/29.480587618048=x
3.3920626445987=x
x=3.3920626445987

now we have:
47.65 is 3.3920626445987% of 1404.75