# 35 of a number is what fraction of that number

Detailed calculations and the verification of the resultA brief introduction. Percent, p%'Percent (%)' means 'out of one hundred':35% = 35 'out of one hundred',p% is read p 'percen

## Detailed calculations and the verification of the result

### A brief introduction. Percent, p%

#### 'Percent (%)' means 'out of one hundred':

#### 35% = 35 'out of one hundred',

#### p% is read p 'percent',

#### p% = p/100 = p ÷ 100

#### 35% = 35/100 = 35 ÷ 100 = 0.35

#### 100% = 100/100 = 100 ÷ 100 = 1

### Percentage of 35% of what number = 35?

#### 35% of what number = 35

#### ... is equivalent to:

#### 35% × ? = 35

#### 35% × ? = 35 =>

#### 35 ÷ 35% =

#### 35 ÷ (35 ÷ 100) =

#### (100 × 35) ÷ 35 =

#### 3,500 ÷ 35 =

### 35% of 100 = 35

## Proof of the calculations

### How do we check the result?

#### If 35% × 100 = 35 =>

#### Divide 35 by 100...

#### ... And see if we get as a result: 35%

### A quick note:

#### Multiply a number by the fraction 100/100,

... and its value doesn't change.

#### 100/100 = 100 ÷ 100 = 1

#### n/100 = n%, any number.

### Calculate the percentage value:

#### 35 ÷ 100 =

#### 0.35 =

#### 0.35 × 100/100 =

#### (0.35 × 100)/100 =

#### 35/100 =

#### So we have proven that the calculations are correct.

## Percentage of 35% of what number = 35?

35% × ? = 35

The answer:

35% of 100 = 35

#### The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.

## The latest 5 calculations: percentage of which numbers are equal to the other given values?

## Online calculator: percentage of what number equals the given number?

## Percentage of what number equals the other given value?Examples of problems that can be solved using the info that can be found on this section of the website:

- 25% of the annual profit of a company was invested in buying some new equipment. The total amount invested in buying the new equipment was 100,000 dollars. What was the annual profit of the company? Rewrite: 25% of the Profit means 100,000 dollars => 25% × Profit = 100,000 dollars => Profit = 100,000 ÷ 25% dollars = 100,000 ÷ 25/100 dollars = 100,000 × 100/25 dollars = 100,000 × 4 dollars = 400,000 dollars;
- 20% of the students in the terminal year have enrolled into the swimming class. In total, 7 students have enrolled. How many students are in the terminal year? Rewrite: 20% of the students means 7 students => 20% × Total number of students = 7 => The total number of students = 7 ÷ 20% = 7 ÷ 20/100 = 7 × 100/20 = 7 × 5 = 35;
- In the last elections 49% of community memebrs voted for the A Party, 32% for the B Party, and the rest for the C Party. 17,920 people voted for the B Party. How many members are in the community, all in all? Rewrite: 32% of the total community members means 17,920 people => 32% × The total number of community members = 17,920 => The total number of community members = 17,920 ÷ 32% people = 17,920 ÷ 32/100 people = 17,920 × 100/32 people = 17,920/32 × 100 = 560 × 100 people = 56,000 people.