A percent is equivalent to the ratio of a part to a whole. To find a percent of a number, you can write a ratio to represent the percent, and find an equivalent ratio that compares the part to the whole.

We can find percentage of a number using the two methods given below.

1. Proportional reasoning

2. Methods

For example, to find 30% of 400, we can use :

**Example 1 :**

Use proportional reasoning to find 28% of 25.

**Solution :**

**Step 1 : **

Write a proportion comparing the percent to the ratio of part to whole.

**?** / 25 = 28 /100

Notice that 25 is a factor of 100.

**Step 2 :**

Find the multiplication factor.

Since 25 · 4 = 100, find what number times 4 equals 28.

**Step 3 :**

Find the numerator.

7 / 25 = 28 /100

(Since 4 x 7 = 28, 28% of 25 = 7)

Hence, 28% of 25 is 7.

**Example 2 :**

Use multiplication to find 35% of 60.

**Solution :**

**Step 1 : **

Write the percent as a fraction.

35% of 60 = (35/100) of 60

**Step 2 :**

Always the word "of" is translated to "Multiplication" in Math.

Multiply :

35% of 60 = (35/100) x 60

= 2100 / 100

= 21

Hence, 35% of 60 is 21.

**Example 3 :**

A sports store received a shipment of 400 baseball gloves. 30% were left-handed. How many left-handed gloves were in the shipment ?

**Solution :**

**Step 1 : **

Write the percent as a fraction.

30% of 400 = (30/100) of 40

**Step 2 :**

Always the word "of" is translated to "Multiplication" in Math.

Multiply :

30% of 400 = (30/100) x 400

= 12000 / 100

= 120

Hence, 120 left-handed gloves were in the shipment.

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