17.46 is what percent of 284.46 - 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 284.46 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 284.46, so we can write it down as 100%=284.46.
4. We know, that x% equals 17.46 of the output value, so we can write it down as x%=17.46.
5. Now we have two simple equations:
1) 100%=284.46
2) x%=17.46
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%=284.46/17.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.46 is what percent of 284.46

100%/x%=284.46/17.46
(100/x)*x=(284.46/17.46)*x       - we multiply both sides of the equation by x
100=16.292096219931*x       - we divide both sides of the equation by (16.292096219931) to get x
100/16.292096219931=x
6.137945581101=x
x=6.137945581101

now we have:
17.46 is 6.137945581101% of 284.46