A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent has the store increased the price per dozen eggs?

Price of a bucket of eggs $16.20
price for a dozen of eggs $3.50
number of dozens in 450 eggs:
450/12
=37.5
price of 37.5 will be:
37.5×3.50=$131.25
The percentage the store has increased the price will be:
(131.25-16.20)/16.20×100
=710%