# 5 is what percent of 3?

## 166.667%

## (5 is 166.667 percent of 3)

### 5 is 166.667 percent of 3. 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 "5 is what percent of 3" with step by step explanation:

#### Method 1: Diagonal multiplication to calculate 5 is what percent of 3.

- Step 1: For 3, our answer will be 5
- Step 2: For 100, our answer will be x
- Step 3: 3*x = 5*100 (In Step 1 and 2 see colored text; Diagonal multiplications will always be equal)
- Step 4: x = 5*100/3 = 500/3 = 166.667

#### 5 is 166.667 percent of 3 - using method 1

#### Method 2: Same side division to calculate 5 is what percent of 3

- Step 1: For 3, our answer will be 5
- Step 2: For 100, our answer will be x
- Step 3: 5/x = 3/100 (In Step 1 and 2, see colored text; Same side divisions will always be equal)
- Step 4: x/5 = 100/3
- Step 5: x = 5*100/3 = 500/3 = 166.667

#### 5 is 166.667 percent of 3 - using method 2

### 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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