Although Suisse BP might look quite similar to Helvetica at first glance, Suisse BP is actually based on Akzidenz-Grotesk, which was originally released by the Berthold Type Foundry in 1896. The easiest giveaway to spot the difference are the angled barbs. You will also notice that indeed, Suisse BP is significantly bolder than Helvetica.
Boldomatic's Suisse BP is on top, compared to the Helvetica Neue typeface below.