Why does this loop not terminate?

This is really simple but I came across an annoyance I've had before where incrementing Transparency by 0.1 means it doesn't reach 1.

local Touched = false
script.Parent.Touched:connect(function() 
    if not Touched then
        Touched = true
        repeat
            script.Parent.Transparency = script.Parent.Transparency + 0.1
            wait(0.1)
        until script.Parent.Transparency == 1
        script.Parent.CanCollide = false
        Touched = false
    end
end)

This code reaches 1 but doesn't terminate and just keeps getting larger. I've had the same problem with a for loop

for i=0,1,0.1 do
     script.Parent.BackgroundTransparency = i
end

Instead this code never makes it to 1. Is this some sort of floating point rounding error? Thanks.

MD