Explain the example in your own words and check the calculation.
A percent is a part out of one hundred.
Compute relative change by dividing the difference by the starting value. Percentage points are the difference between two rates: moving from 2% to 3% is an increase of one percentage point, but a relative increase of 50% in the rate.
10% of 50,000 ₪ is 5,000 ₪. If 100 falls by 50% and becomes 50, a 100% increase is required to return to 100.
Explain the example in your own words and check the calculation.
A price falls from 100 to 80: the loss is 20 out of 100, or 20%. Returning from 80 to 100 requires a gain of 20 out of 80, or 25%. The same money difference gives a different percentage when the base changes. Write the starting value, difference and division each time. Do not add gains and losses as though their percentages always used the same base. Without stating the base, even an accurate number can create a misleading impression.
Concepts that help you compare
Profit and loss: reading the numbers
Profit or loss is the difference between an investment’s current value and its cost. Before selling, this is an unrealized change in the value of the holding. After selling, the result is realized. Percentage return compares the change to the original cost. To get net results, also account for fees and relevant taxes.
Comparison example: You bought at 100 ₪ and the value is 90 ₪: a value loss of 10 ₪, i.e. 10%. An increase from 90 back to 100 requires about 11.1%.
Compound interest is earning interest on interest that has already been added. The calculation depends on the rate and the compounding frequency. In investments returns can vary and be negative, so an example with fixed interest is just an illustration. Fees, taxes and withdrawals change the outcome.
Comparison example: Assuming a constant 5% per year: 100 ₪ becomes 105 ₪ after one year and 110.25 ₪ after two years, before costs.