The house power is always 220V.
You should have 4 wires at your stove connector.
1 black, 1 red, 1 white and one safety ground (usually a bare wire) or green.
Measuring between white and black or white and red you should see 110V.
You should see 220V between the black and red wires.
You can connect the black and white wires from the new stove top (110V) to the black and white wires of the old wires.
Check the voltage before you power anything up. Ya never know if the previous hookup was correct.
Remember, the old wires are on a heavy duty breaker and you might consider replacing the breaker with a smaller amperage rating.