Percent Change Formula and Base Selection
Always divide change by the original value before increase or decrease—swapping base inflates or shrinks reported change.
Always divide change by the original value before increase or decrease—swapping base inflates or shrinks reported change.
Percentage equals part divided by whole times 100—the whole must be the reference set, not the larger number by habit.
Relative frequency times 100 gives percent of sample— distinguish sample percents from population parameters in wording.
Each category spend divided by total income shows proportion—50/30/20 rules are percent buckets, not rigid law.
Simple interest equals principal times rate times time—compound interest needs different formulas beyond one-period percent.
Discount applies to pretax subtotal in most retail math; tax applies after discounts unless problem states otherwise.
Tip equals bill times tip rate; split totals divide by party size after tax policy you choose.
Points earned divided by points possible yields exam percentage—weight categories separately for course grades.
Enter values in labeled fields, read which question type the tool solves, and copy results into homework showing intermediate steps.
If final is 120 after 20% increase, divide by 1.20 not multiply—reverse problems swap which factor you apply.