I got my first singularity and I am at 94,55% of my second run. But I still don't get which resource affects the percentage. How can I speed it up?

Each resource can reach Infinity. The percentage is always the closest (most numerous) resource. Then after you have at least one infinity, it shows number of infinities instead of percentage.

You can collect 16 of singularities before you prestige once.

I'm thinking of ways to make this more clear in future updates, sorry!

After you reach Infinity of peasants (population) or houses, you can then quickly get all others.

the first infinity to show, for me at least, is food