1 : ring (something) up or ring up (something) : to use a special machine (called a cash register) to calculate the cost of (something, such as goods or services)
The cashier rang up our purchases.
2 : to achieve (something)
The company rang up huge profits last quarter.
She rang up another tournament win.
3 : mainly British
to make a telephone call (to)
Ring me up in the morning and I will let you know about the tickets