[Tutor] Floating decimal question

[Roger Lea Scherer]

This is my first time in this "forum", please be patient I will do my best.

As I was going through a book and came across this challenge, I did what I
believe was a success. And I know there are ways of making the decimal
place be limited to 2 places, but my question is more of understanding why
the following happened.

This is the code I wrote in python:

bill = float(input("What is the price of the bill?: "))
tip15 = bill*1.15
tip20 = bill*1.20

print("Bill plus 15% gratuity is " + str(tip15))
print("Bill plus 20% gratuity is " + str(tip20))



This is the result I got after I ran the code in an IDE (obviously) and
then entered 29.99 in the first line:

What is the price of the bill?: 29.99
Bill plus 15% gratuity is 34.488499999999995
Bill plus 20% gratuity is 35.988



My question is why does the 15% gratuity go so far beyond the decimal place
when really there should only be 4 places because of multiplication rules,
you know, and I do understand sometimes things work behind the scenes that
you don't see, but on the 20% gratuity it gives the "right" answer? So I
guess I'm just asking why did this happen like this?

Thank you.