How would you calculate in your head the decimal value of 93/95 rounded to two decimal places?

One thing you could do is to say that 93/95 is greater than 93/100 = .93.

Here is a way of thinking about this that should suggest a way of honing in on the correct value to two places. Imagine that a team has won 93 of its first 95 games, giving it a winning rate of 93/95. 93/100 is what its record would be if it lost its next five games. Intuitively, playing at 0% should have a greater impact on the team’s winning rate than if it played those 5 games at a rate closer to its current winning rate.