Transmission and straddle-type vehicle

A transmission includes a dog clutch type transmission mechanism 51, a clutch actuator 72 that drives a clutch 30, a shift actuator 82 that moves a movable gear 60 of the transmission mechanism 51, and a delay time setting section 96 that sets a delay time which is a time period between start of disengagement of the clutch 30 and start of movement of the movable gear 60. When an engagement force between dog portions to be disengaged from each other is a first engagement force, the delay time setting section 96 sets the delay time to a first delay time. When the engagement force is a second engagement force smaller than the first engagement force, the delay time setting section 96 sets the delay time to a second delay time shorter than the first delay time.