# What is 5 percent of 46?

## 2.3

## (5 percent of 46 is 2.3)

### 5 percent of 46 is 2.3. 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 "What is 5 percent of 46" with step by step explanation:

#### Method 1: Diagonal multiplication to calculate 5 percent of 46.

- For 100, our answer will be 5
- For 46, our answer will be x
- 100*x = 5*46 (In Step 1 and 2 see colored text; Diagonal multiplications will always be equal)
- x = 5*46/100 = 230/100 = 2.3

#### Answer: 5 percent of 46 is 2.3

#### Method 2: Same side division to calculate 5 percent of 46

- For 100, our answer will be 5
- For 46, our answer will be x
- 100/46 = 5/x (In Step 1 and 2, see colored text; Same side divisions will always be equal)
- 5/x = 100/46 or x/5 = 46/100
- x = 46*5/100 = 230/100 = 2.3

#### Answer: 5 percent of 46 is 2.3

#### Method 3: Converting Percentage to Decimal to calculate 5 percent of 46

- Find the decimal equivalent of 5 i.e. 5/100 = 0.05
- Multiply the decimal equivalent (above) to the given number i.e. 46*0.05 = 2.3

#### Answer: 5 percent of 46 is 2.3

### 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.

### Differences between percentages and percentage points

Let s take an imaginary example: In 2020, 90 percent of the population could use Inernet, and in 1990 only 10 percent could use the Internet. One can thus say that from 1990 to 2020, the Inernet usage increased by 80 percentage points although Internet usage grew at much higher pace (it increased by 900 percent from 10 to 90). In short percentages indicate ratios, not differences.Percentage-point differences are one way to express a probability of something happening. Consider a drug that cures a given disease in 80 percent of all cases, while without the drug, the disease heals on its own in only 65 percent of cases. The drug reduces absolute risk by 15 percentage points.

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