**Step 1 :**

Write the given percentage as fraction.

For example, if it is 15% then write it as 15/100.

**Step 2 :**

Convert the denominator of the given fraction as 100 using multiplication.

So that, on either sides we will have fractions with same denominators.

**Step 3 : **

Now we can easily compare the numerators and decide which number is greater and which number is smaller.

**Note : **

If it is not possible to convert the denominator of the given fraction into 100 using multiplication, better convert both percent and fraction into decimal and compare.

**Step 1 :**

Write the given percentage as fraction. That is, if we have 15% then write it as 15/100.

**Step 2 :**

Multiply and divide the given decimal by 100.

So that, on either sides we will have fractions with same denominators.

**Step 3 :**

Now we can easily compare the numerators and decide which number is greater and which number is smaller.

**Example 1 :**

Which of the following signs makes the statement true ?

< , > , =

**Solution :**

We can write 20% as shown below.

20 / 100 -----(1)

Multiply both numerator and denominator of the fraction 1/2 by 50 as shown below.

(1 / 2) ⋅ (50 / 50) = 50 / 100 -----(2)

In fractions (1) and (2), the denominators are same.

Now, we can compare the numerators.

20 is lesser than 50

So, 20% is lesser than 1/2.

**Example 2 :**

Which sign makes the statement true?

< , > , =

**Solution :**

Here, both the quantities are percents.

So, we can easily compare them.

65% is greater than 62%

**Example 3 :**

Which sign makes the statement true?

< , > , =

**Solution :**

We can write 7% as shown below.

7 / 100 -----(1)

Multiply both numerator and the denominator of the fraction 1/4 by 25 as shown below.

(1 / 4) ⋅ (25 / 25) = 25 / 100 -----(2)

In fractions (1) and (2), the denominators are same.

Now, we can compare the numerators.

7 is lesser than 25

So, 7% is lesser than 1/4.

**Example 4 :**

Which sign makes the statement true?

< , > , =

**Solution :**

In the fraction 79/100, already the denominator is 100.

So, we have nothing more to do in the fraction 79/100.

79 / 100 -----(1)

We can write 79% as shown below.

79 / 100 -----(2)

In fractions (1) and (2), both the numerators and denominators are same.

So, 79/100 and 79% are equal.

**Example 5 :**

Which sign makes the statement true?

< , > , =

**Solution :**

We can write 3% as shown below.

3 / 100 -----(1)

Multiply and divide the decimal 0.07 by 100 as shown below.

0.07 ⋅ (100 / 100) = 7 / 100 -----(2)

In fractions (1) and (2), the denominators are same.

Now, we can compare the numerators.

3 is lesser than 7

So, 3% is lesser than 0.07

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