# What Is 10 Percent of 400 + Solution With Free Steps

**Divide 4000 by 100 to get a value of 40. This is the result of multiplying the fraction 0.1 by the number 400.Â **

A computation of this **type** could be **useful** in a **variety** of real-world situations. **Imagine** you wanted to buy your **best-loved** chess board from your **favorite** store, **however,** the price was extremely expensive. Assume the original price of the chess board was **400** dollars. The vendor has provided a 10% discount. The first step in setting the new price is determining the value of the remaining **10%** of **400.** When you realize that **10%** of **400** equals **40,** deciding whether or not to buy the item becomes so much easier.

This **estimate** may be required for a **variety** of many other situations as well. The following mathem**a**tical step shows how to compute **10** percent of **400.**

## What Is 10 Percent of 400?

**10% of 400 is equal to 40. Simply multiplying 400 by the fraction 0.1 yields this answer, which we can compute.**

Another method that yields the same **result** is multiplying the fraction **10/100** by **400.** This would produce the same **result,** which is the **desired** answer of **40.**

## How To Calculate 10% of 400?

You can use basic math **operations** like **multiplication** to **determine** what **10%** of **400** is.

### Step 1

From a **math** point of **view, 10%** of **400** looks like this:

**10 percent of 400 = 10% x 400**

### Step 2

Just replace the percent sign with the fraction **1/100,** like this:

**10 percent of 400 = ( 10 Ã— 1/100 ) x 400**

### Step 3

By **rearranging** the above equation, we get:

**10 percent of 400 = ( 10 x 400 ) / 100**

### Step 4

Getting the product of **10** times **400:**

**10 percent of 400 = ( 4000 ) / 100**

### Step 5

Dividing **4000** by **100:**

**10 percent of 400 = 40**

**40** is, therefore, equal to **10%** of **400.**

The **pie chart** below lets us see how all parts fit together.

Figure 1: The **10** percent of **400**

**10%** of **400** is **40,** which is what the **orange area** shows. The area of the **whole pie chart,** which shows the whole value, equals **400.** The **green color** of the graph shows that the other **90%** of **400,** or 3**6**0, is still the same.

The **percentage** scale is **indeed** a **specific** scale in **which** each value of a given **quantity** is **represented** by a **scale ranging** from the lowest value of **zero** to the **highest** value of one **hundred,** as stated by the **definition** of the **scale** itself.

*All the Mathematical drawings/images are created using GeoGebra.*