I used to use YNAB and I think this was its whole point: you allocate money in different envelopes (budgets) and as the month goes by, you enter your transactions and see how your envelopes deplete.

I didn't actually do this that much, I was much more interested in where my money was going over longer periods (say a year). It was nice enough, but I dropped it a few years ago when they had big price increase and became more expensive than it was worth to me.