Scaling an entire fully configured particle system

Unfortunately, it seems to me that it's not possible to scale a fully configured particle system (not a single particle) in size. Because I have been searching and asking for an answer to this on Google and various forums for 3 days in vain. And didn't get an answer. So, it would be great if you could simply scale a finished particle system animation as a whole, like with "S." Why? Because all my projects are different sizes, and the inserted particle system is either too big or too small. Adjusting all the projects to fit the system isn't a solution. I simply need the particle systems in the same project in different sizes, with the same settings and animation sequences.

However, it should still be adjustable in terms of lifetime, frame start and all the other settings in the particle system.