**84: A Mysterious Fraction in Search of Its Whole**

84 is a unique number that has puzzled many with its enigmatic mathematical properties. Anyone who has grappled with the question of “84 is 12 of what number” understands the frustration it can bring. The answer seems elusive, like a needle in a haystack. But fear not, dear readers, for we shall embark on a journey to uncover the secrets behind this perplexing fraction.

The search for the whole number that 84 is 12 of is a common mathematical challenge. Students, educators, and even seasoned mathematicians have encountered this puzzle at some point. This problem serves not only as a test of arithmetic skills but also highlights the importance of understanding ratios and proportions. Solving this riddle requires us to unravel the relationship between 84 and 12, seeking the common denominator that binds them together.

The solution to “84 is 12 of what number” lies in the fundamental principles of division. By dividing 84 by 12, we obtain the whole number that 84 represents 12 of. This calculation reveals the missing piece of the equation: 84 is 12 of **7**.

In summary, the mystery of “84 is 12 of what number” is solved through the application of division. The answer is 7, a number that is 12 times smaller than 84. This problem emphasizes the significance of understanding ratios and proportions, skills that are essential in various areas of mathematics and beyond.

## 84 is 12 of What Number?

**Introduction**

Mathematical calculations often involve finding the value of one variable given the values of other related variables. One such problem involves determining the total value of a whole given a fractional part. In this article, we will solve the equation “84 is 12 of what number” to find the unknown whole.

### Solving for the Whole

**Step 1: Let the Unknown Whole be x**

We represent the unknown whole as “x.”

**Step 2: Convert the Fraction into a Decimal**

The fraction “12/100” can be converted to a decimal by dividing the numerator by the denominator: 12/100 = 0.12.

**Step 3:**

```
<center><img src="https://tse1.mm.bing.net/th?q=Equation%20Setup" alt="Equation Setup" width="200px"></center>
```

**Set Up the Equation**

We set up the equation based on the information given:

84 = 0.12x

**Step 4: Solve for x**

We divide both sides of the equation by 0.12 to isolate x:

84 / 0.12 = x

700 = x

Therefore, the whole is 700.

### Verification

To verify our solution, we can substitute x = 700 back into the original equation and check if it holds true:

84 = 0.12 * 700

84 = 84

The equation holds true, confirming that 700 is indeed the whole value.

### Example Calculation

Suppose we have 84 candies and want to distribute them equally among 12 children. How many candies will each child receive?

**Solution:**

Using the equation we solved earlier, 12 of x is equal to 84. Therefore, x (the total number of candies) is 12 times the number of candies each child receives:

12 * (Candies per child) = 84

Candies per child = 84 / 12

Candies per child = 7

Each child will receive 7 candies.

### Conclusion

In summary, the whole of which 84 is 12 of is 700. This was determined by converting the fraction 12/100 to a decimal, setting up the equation 84 = 0.12x, and solving for x. The solution was verified by substituting x back into the original equation and checking if it held true.

What,Number