47.24 is what percent of 1620.38 - 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 1620.38 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 1620.38, so we can write it down as 100%=1620.38.
4. We know, that x% equals 47.24 of the output value, so we can write it down as x%=47.24.
5. Now we have two simple equations:
1) 100%=1620.38
2) x%=47.24
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%=1620.38/47.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.24 is what percent of 1620.38

100%/x%=1620.38/47.24
(100/x)*x=(1620.38/47.24)*x       - we multiply both sides of the equation by x
100=34.301016088061*x       - we divide both sides of the equation by (34.301016088061) to get x
100/34.301016088061=x
2.915365531542=x
x=2.915365531542

now we have:
47.24 is 2.915365531542% of 1620.38