# What is 5 percent of 33?

## 1.65

## (5 percent of 33 is 1.65)

### 5 percent of 33 is 1.65. Explanation: What does 5 percent or 5% mean?

Percent (%) is an abbreviation for the Latin “per centum”, which means per hundred or for every hundred. So, 5% means 5 out of every 100.

### Methods to calculate "What is 5 percent of 33" with step by step explanation:

#### Method 1: Diagonal multiplication to calculate 5 percent of 33.

- For 100, our answer will be 5
- For 33, our answer will be x
- 100*x = 5*33 (In Step 1 and 2 see colored text; Diagonal multiplications will always be equal)
- x = 5*33/100 = 165/100 = 1.65

#### Answer: 5 percent of 33 is 1.65

#### Method 2: Same side division to calculate 5 percent of 33

- For 100, our answer will be 5
- For 33, our answer will be x
- 100/33 = 5/x (In Step 1 and 2, see colored text; Same side divisions will always be equal)
- 5/x = 100/33 or x/5 = 33/100
- x = 33*5/100 = 165/100 = 1.65

#### Answer: 5 percent of 33 is 1.65

#### Method 3: Converting Percentage to Decimal to calculate 5 percent of 33

- Find the decimal equivalent of 5 i.e. 5/100 = 0.05
- Multiply the decimal equivalent (above) to the given number i.e. 33*0.05 = 1.65

#### Answer: 5 percent of 33 is 1.65

### Percentage examples

Percentages express a proportionate part of a total. When a total is not given then it is assumed to be 100. E.g. 5% (read as 5 percent) can also be expressed as 5/100 or 5:100.Example: If 5% (5 percent) of your savings are invested in stocks, then 5 out of every 100 dollars are invested in stocks. If your savings are $10,000, then a total of 5*100 (i.e. $500) are invested in stocks.

### History of Percentage

Before the Europeans learned about the decimal system, ancient Romans used fractions in the multiples of 1/100. An example was when Augustus levied a tax of 1/100 called centesima rerum venalium on goods sold at auctions. Computation with these fractions was similar to percentages.In the Middle Ages, denominator of 100 became more common. By the 16th century, as decimal system became more common, use of percentage became a standard. It was used to compute profit and loss, interest rates etc.

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