“big time”指巨大成功，“hit”有命中、击中的意思。所以“hit the big time”的意思是：大获成功。

After Tony hit the big time, he bought a luxury car.

托尼大获成功后，购买了一辆豪车。

He hit the big time with films such as Ghost and Dirty Dancing.

他因《人鬼情未了》和《辣身舞》等影片走红。