The other answers are technically correct, but are IMHO unlikely to help. The benchmark you care the most about is your real-life usage of the processor.
Watch yourself using the processor and watch how the processor is doing in critical times, for instance by using htop or whatever works for you. Find the critical components, compare measures for those. For instance, it's pointless to compare benchmarks before knowing how many cores you need.
So for example I can open
htop in a meaningful moment of the day (e.g. when the computer feels slow), rule out any memory or I/O issue; watch the CPU usage and find out Skype is consuming 70 % of one core, a
chromium-browser thread is consuming 100 % of one core and another program I'm using is also taking all the CPU it can. Based on this, I know that for my web browsing I'd benefit from a faster core and for my multi-tasking I'd need at least 3 cores.
If you have access to the newer machine you want to compare (as in your case), go compare the CPU usage and required time for a specific task which proved stressing, such as opening a particularly heavy web page or searching a mass of emails in your email client or whatever (optionally using
/usr/bin/time -v in your time for a specific command in the terminal, works also in OSX and many *NIX OS)