% Calculator of percentages of numbers, convert numbers and fractions to percentage values, calculate the relative percent change (the relative increase or decrease), change numbers by percentage of value (increment or decrement), convert percentages to decimals or integers

1. Percent

• Percent is one hundredth of a given amount, is an amount calculated with reference to a hundred, hundredth, 1 ÷ 100 = 1/100, ie. a fraction with numerator equal to 1 and denominator to one hundred.
• The word comes from the Latin "per Centum", meaning "by the hundred". The latin word "Centum" means "100", for example a century is 100 years. So, "percent" means "per 100".
• Percent means 1/100, two percent means 2/100, three percent means 3/100, and so on.
• Although a fraction, the percent occurs in writing without the denominator (100), but only with the numerator, followed by the sign %: 1 percent = 1%, two percent = 2%, three percent = 3%, and so on.

2. Percentage

• Percentage is the "result of multiplying a quantity by a certain percent".
• So 10 percent (10 ÷ 100 = 10/100 = 10%) out of 50 apples is 5 apples (10% of 50 = 10/100 × 50 = 500/100 = 5) - the 5 apples is the percentage.

When do we say percent and when percentage?

• The word percent (or the symbol %) accompanies a specific number: around 60 percent (60%) of the people voted for a change.
• The more general word percentage is used without a number: the percentage of the people that voted for a change was around 60 percent (60%);
• Correct: 60 percent (60%) of the people; Incorrect: 60 percentage of the people;
• Correct: a higher percentage of voters; Incorrect: a higher percent of voters;
• Note: In front of the word "percent" use the number, don't spell it out: "60 percent" is right, "sixty percent" is rather not. Always use figures for ages of people (He's 43 years old), dates (May 26), monetary amounts ($80,000), percentages (60 percent) and ratios (2-to-3).

3. Percentages converted to decimal numbers:

• 1 percent, 1%, means 1 per 100, 1% = 1/100 = 0.01.
• 50 percent, 50%, means 50 per 100, 50% = 50/100 = 1/2 (half) = 0.5.
• 1 percent of 70 is: 1% of 70 = 1/100 × 70 = 7/10 = 0.7
• 50 percent of 70 is: 50% of 70 = 50/100 × 70 = 1/2 × 70 = 35.