Pattern 01
Translate percent language
What is 35 percent of 240, and the reverse, 12 is what percent of 80. The word of means multiply and is means equals. Write the sentence as an equation and it solves itself.
Data Analysis · Skill 2 of 7
Percent questions on the digital SAT are rarely about taking 20 percent of a number. They stack changes, reverse them, and bait you into adding percents that live on different bases. Learn the multiplier method once and every version, discount, tax, growth, or decay, becomes the same short calculation.
Four setups cover essentially every percent question on the test. The stories rotate through stores, populations, and lab samples, but the math underneath never grows.
Pattern 01
What is 35 percent of 240, and the reverse, 12 is what percent of 80. The word of means multiply and is means equals. Write the sentence as an equation and it solves itself.
Pattern 02
A quantity rises or falls by a stated percent. One multiplier does it: × 1.15 for 15 percent up, × 0.85 for 15 percent down. Finding a percent change is change ÷ original.
Pattern 03
The price after a change is given and the original is wanted. Divide by the multiplier. Subtracting the percent from the final number is the planted wrong answer, every time.
Pattern 04
Discount then tax, growth then decline. Multiply the multipliers in order. Stacked changes never simply add, because each one acts on a brand new base.
Worked example · medium
A store discounts a jacket by 20 percent. An 8 percent sales tax is then applied to the discounted price. The final amount paid is $86.40. What was the original price of the jacket?
Answer: $100
The store becomes a restaurant bill or a shrinking population on regeneration, and the percents change. The multiplier chain is always the whole game.
Percent problems become one line Desmos problems once the multiplier is written: 86.40 ÷ 0.864 finishes the worked example above instantly, and a chain like 240 × 1.15 × 0.85 evaluates in a single keystroke burst. The setup is still yours, and the classic percent mistakes are all setup mistakes, so drill the translation and let the built in calculator carry the decimals.
Percent skills decay into memorized answers fast, which is why Satified's drills regenerate. Each question rebuilds with new prices, rates, and stacking orders every time it loads, across easy, medium, and hard versions. You practice the multiplier translation itself, and every answer in the 1,483 question bank has been independently verified.
Multipliers until they are reflex.
Start this skill free →Percent fluency pays off across the whole domain, especially in the data and margin of error skills waiting after this one.