Working one column, which is enough to see the pattern in all four.
Total the income actually received from January 1 to the period's end date, less adjustments to income, using the taxpayer's own method of accounting.
Annualize it by the column's multiplier: 4, 2.4, 1.5 or 1.
Subtract deductions. Annualized itemized deductions, or the full standard deduction, whichever is larger.
Figure the tax on the result, then add annualized self-employment tax from Part II and any other taxes for the period.
Apply the column's percentage: 22.5%, 45%, 67.5% or 90%.
Apply the running cap. Subtract what earlier columns have already claimed, then take the smaller of that figure and the regular installment increased by the amount earlier columns left unused.
An example, using the second column. Mireille's regular required annual payment for the year is $18,000, so the ordinary installment is 25 percent of that, or $4,500 per period. Her consulting income is back-loaded.
Through March 31 she has received $12,000. Annualized at the first column's multiplier of 4, that is $48,000. Assume, purely to make the arithmetic visible, that the total tax figured on that annualized amount comes to $10,000; the figure is stipulated for the illustration rather than derived from any rate table. The first column's applicable percentage is 22.5 percent, so $10,000 times 0.225 is $2,250. That is smaller than the $4,500 ceiling, so her first required installment is $2,250 rather than $4,500.
Through May 31 she has received $60,000. The second column's multiplier is 2.4, so the annualized figure is $144,000, and assume the tax on it comes to $40,000. The second column's percentage is 45 percent, giving $40,000 times 0.45, or $18,000. From that she subtracts the $2,250 already claimed in the first column, leaving $15,750.
Now the ceiling. The regular quarterly amount is $4,500, and the first column left $4,500 minus $2,250, or $2,250, unused. The ceiling for the second column is therefore $4,500 plus $2,250, or $6,750. She takes the smaller of $15,750 and $6,750, so her second required installment is $6,750.
Two periods in, she has been required to pay $2,250 plus $6,750, or $9,000, which is exactly what two flat installments of $4,500 would have required by the same date. The method changed when the money was due, not how much.