Arduino due performance benefits

Hi all, I've been using Arduinos for awhile now and just recently found out about the Arduino Due. I've done some research on it and can't seem to find any direct comparison on benefits over the Uno,mega 2560 etc. I know it is faster and has more memory but what kind of performance increase would I see if I'm reading 3 sonars and based on those the values from the sonar, it will execute an action.

The advantage of the Due is the processing speed in instructions per second and also the 32-bit values versus 8-bit.
Additionally, there is a USB Host port, 12-bit ADC and PWM resolutions, and expanded SPI functionality.
https://store.arduino.cc/usa/arduino-due

if I'm reading 3 sonars and based on those the values from the sonar, it will execute an action.

Well, that would depend on how much calculation is involved with the "based on those values" and "execute an action."
In general, Due isn't that much faster at reading inputs from external hardware (which tends to have hardware and physics as limiting factors), but is MUCH faster at most calculations.

Don't forget that any processor is going to be twiddling its metaphoric thumbs a lot, waiting for echoes.