The basic arithmetic
The down payment is the purchase price multiplied by your target percentage: $300,000 at 20% is $60,000. The amount you finance is the price less that cash, and that balance is what the monthly payment and interest numbers are calculated on.
Every percentage point of down payment is the same math: 1% of a $300,000 price is $3,000 of cash and $3,000 less debt. Ten points changes the loan by $30,000 - an amount with real consequences for the monthly payment over a 30-year term.