Actually it's (100 - 0.45) / 0.45 = 221

Since I'm bored at work.

The probability of getting dealt a specific hand is :
1 - (1 - 0.0045) ^ n
where n is the number of hands

Short chart:
n -> %
5 -> 2.2%
90 -> 33.4%
154 -> 50.1%
221 -> 63.1%
1000 -> 98.9%

So in 90 hands there is a 1/3 chance of your hand being dealt
While your hand comes once every 221 times there is only 2/3 chance you get dealt it at least once in a random 221 deal sample
You need to be dealt 1000 hands to have 99% confidence in your hand being dealt at least once