# 32 is 40 percent of what number?

## 80

## (32 is 40 percent of 80)

### 32 is 40 percent of 80. Explanation: What does 40 percent or 40% mean?

Percent (%) is an abbreviation for the Latin “per centum”, which means per hundred or for every hundred. So, 40% means 40 out of every 100.

### Methods to calculate "32 is 40 percent of what number" with step by step explanation:

#### Method 1: Diagonal multiplication to calculate "32 is 40 percent of what number".

- As given: For 40, our answer will be 100
- Assume: For 32, our answer will be X
- 40*X = 100*32 (In Steps 1 and 2 see colored text; Diagonal multiplications will always be equal)
- X = 100*32/40 = 3200/40 = 80

#### 32 is 40 percent of 80

#### Method 2: Same side division to calculate "32 is 40 percent of what number".

- As given: For 40, our answer will be 100
- Assume: For 32, our answer will be X
- 100/x = 40/32 (In Step 1 and 2, see colored text; Same side divisions will always be equal)
- 100/X = 40/32 or x/100 = 32/40
- X = 32*100/32 = 3200/40 = 80

#### 32 is 40 percent of 80

### 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. 32% (read as 32 percent) can also be expressed as 32/100 or 32:100.Example: If 32% (32 percent) of your savings are invested in stocks, then 32 out of every 100 dollars are invested in stocks. If your savings are $10,000, then a total of 32*100 (i.e. $3200) 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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