Single Bid

You have an opportunity to make one bid on a widget, whose value to its owner is, as far as you know, a uniformly random integer between $0$ and $100$ inclusive. What you do know is that you are so much better at operating the widget than he is, that its value to you is $80\%$ greater than its value to him. If you offer strictly more than the widget is worth to the owner, he will sell it to you for your bid; otherwise there is no sale. You get only one shot. How much should you bid to maximise your expected profit (the widget's value to you minus what you pay)?