Window balancer part identification
Hello there. This looks like either an S380-30 or S385-30. The only difference between these two balances is the depth of the bottom nylon shoe, or the 'heel-to-toe' measurement, so compare both with your old hardware to see what matches best. See the diagram below for reference.
You then have to choose a stamp option, which reflects the strength of the balance. Since your old balances lack stamps, the best thing to do is to weigh the window sash these balances support. You can then match that exact weight with one of the weight ranges listed alongside each stamp option under the product description of either the S380-30 or S385-30 shop page.