I'm wondering how long we'll need to do the savings? Who has already reached any significant level, are you still saving, or you can afford to live without any financial restrictions?
Saving is a necessary step when your monthly income exceeds the calculated returns from your investments. Of course, the bigger your paycheck, the quicker you may cease saving. When all your assets can generate more income than your salary, it's time to invest.
Suppose you aim to invest in a company that guarantees a 7% monthly return. Currently, you're earning $2000 per month working for a company, and you have $10k in savings.
If you choose to invest your $10k savings, you'll only earn $700 each month. This is significantly insufficient to sustain your life (in a big country's average standard).
You need to have at least $30k in assets to generate a $2100 income without working, which is the investment target to aim for.
Save until your assets are ready to be invested.