[python] "Unorderable types: int() < str()"

I'm trying to make a retirement calculator right now on Python. There's nothing wrong with the syntax but when I run the following program:

def main():
    print("Let me Retire Financial Calculator")
    deposit = input("Please input annual deposit in dollars: $")
    rate = input ("Please input annual rate in percentage: %")
    time = input("How many years until retirement?")
    x = 0
    value = 0
    while (x < time):
        x = x + 1
        value = (value * rate) + deposit
        print("The value of your account after" +str(time) + "years will be $" + str(value))

It tells me that:

Traceback (most recent call last):
  File "/Users/myname/Documents/Let Me Retire.py", line 8, in <module>
    while (x < time):
TypeError: unorderable types: int() < str()

Any ideas how I could solve this?

Just a side note, in Python 2.0 you could compare anything to anything (int to string). As this wasn't explicit, it was changed in 3.0, which is a good thing as you are not running into the trouble of comparing senseless values with each other or when you forget to convert a type.