A method of starting an engine with an engine starter that includes pressurizing a motor supply chamber with a fluid, selectively pressurizing an actuating chamber in response to the pressure in the motor supply chamber, moving a first valve along a first axis in response to pressure in the actuating chamber and moving a pinion toward engagement with the engine in response to movement of the first valve. The method further includes further pressurizing the actuating chamber, moving a second valve along a second axis in response to the further pressure in the actuating chamber, rotating the pinion in response to movement of the second valve, meshing pinion teeth with teeth on the engine, and starting the engine in response to rotation of the pinion.