In the spring, a group of biologists caught and tagged 500 wolves in a wilderness area. These animals were then released. A couple of months later, 200 wolves were caught and 75 of them had tags. Estimate the wolf population in this wilderness area.

Question

In the spring, a group of biologists caught and tagged 500 wolves in a wilderness area. These animals were then released. A couple of months later, 200 wolves were caught and 75 of them had tags. Estimate the wolf population in this wilderness area.
Please check if my solution is correct:
75/200 is the percent of wolves caught that had tags;
75/200=500/N
75N=200x500
N=1333.333
Thanks in advance.