47.37 is what percent of 284.25 - 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 284.25 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 284.25, so we can write it down as 100%=284.25.
4. We know, that x% equals 47.37 of the output value, so we can write it down as x%=47.37.
5. Now we have two simple equations:
1) 100%=284.25
2) x%=47.37
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%=284.25/47.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.37 is what percent of 284.25

100%/x%=284.25/47.37
(100/x)*x=(284.25/47.37)*x       - we multiply both sides of the equation by x
100=6.0006333122229*x       - we divide both sides of the equation by (6.0006333122229) to get x
100/6.0006333122229=x
16.664907651715=x
x=16.664907651715

now we have:
47.37 is 16.664907651715% of 284.25