Departure
When requested to climb by ATC, the pilot should initiate the climb promptly at an optimum rate consistent with the operating characteristics of the aircraft to 1,000' below the assigned altitude then 500 to 1,500 fpm.
—Sporty's
Convert ground speed to nautical miles per minute
divide ground speed by 60 = miles/min
multiply by desired climb rate: 400 ft/NM * miles/min
or ground speed by ft/NM divide by 60)

—Gold Seal
see also