Antique Vase

How do you answer this percentage question?

The value of a antique vase increases by 20% each year for 3 years. Find the percentage increase of the vase.

What's the answer and how do you do it?
I have just figured the question out: (you don't need to know the initial value)

Say for example the vase was $75
After the first year it would be $90
After the second year it would be $108
After the third year it would be $129.60

The price difference is 129.60 - 75
So the price difference $54.6

However we need to know the percentage increase out of the original price ($75)
so we say 54.6 divided by 75. Then we get a decimal answer of 0.728.
Finally we change the decimal to a percentage by multiplying by 100.

Therefore the answers comes to: 72.8%
I you try it yourself you'll find that it works with any original number, not just 75. The answer will be the same.

Bah. Figured it out too late ):

Well.... to figure it out just say the starting price is $100.00.
$100 + 20% (which is $20)
1 year: $120
$120 + 20% (which is $24)
2 years: $144
$144 + 20% (which is $28.80)
3 years: $172.80
SO you just take away the original price ($100) and the leftover amount ($72.80) you convert into a percentage.
Therefore the answer is:
72.8%
(: Thats the best I can explain it....The last part is like: wtf? but it gets the answer so...meh.

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