[Python] Python list numbers with selection

I'm new to programming and currently learning python with reference book Python Programming Fundamentals. Here is one of the question I am dealing with:

1: Request user to input a list of numbers.

2: Then output those numbers which is in between 0 and 100.

Following is my code:

s = input("Please enter a list of numbers:") # request user to input a list of numbers
lst = s.split() # Now lst is a list of strings.
output = [] # Here is the beginning of the accumulator pattern

for e in lst:
if float(e) > 0 and float(e) < 100 : # inbetween 0 and 100
output = output.append(float(e))
else:
output = output

print("The number between 0 and 100 are ", output)


And the error is:

File "c:\Users\HKGGAIT001\Desktop\1.py", line 7, in <module>
output = output.append(float(e))
builtins.AttributeError: 'NoneType' object has no attribute 'append

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