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Understanding how to convert a percentage to a decimal is a fundamental skill in mathematics. Let's break it down step by step.

A percentage is a way of expressing a number as parts per hundred. When you see a percent sign (%), think of it as 'per hundred.' For example, 150% means 150 per hundred.

To convert a percentage to a decimal, you need to remove the percent sign and then divide the number by 100. This is because 'per hundred' literally means 'for every 100 units.'

Here’s how you do it:

• First, take the percentage number. In this case, it's 150%.
• Remove the percent sign (%), leaving you with just the number 150.
• Next, divide this number by 100 to find its decimal form.

By following these easy steps, you can accurately convert any percentage to a decimal.

Decimals are a way to represent fractions or percentages without using a fraction bar or a percent sign. A decimal representation uses a point (.) to separate the whole number part from the fractional part.

When you convert 150% to a decimal, you end up with 1.5. This decimal tells us that the value is 1 whole and 5 tenths. Here's what happens in detail:

By dividing 150 by 100, you get 1.5. The division operation helps us to understand how many 'whole hundreds' fit into 150, and what remains. In this example, 150 fits into 100 one time with 50 left over. That leftover 50 becomes the 0.5 part in the decimal system.

• The number '1' represents one whole (100 out of 100).
• The number '0.5' represents the remaining 50 out of 100, simplified to five tenths.

This is why understanding decimal representation helps us make sense of the values derived from percentages.

Division is the mathematical process of determining how many times one number is contained within another. This operation is essential for converting percentages to decimals. Let's take a closer look by performing a simple division.

For converting 150% to a decimal, we perform the division of 150 by 100. In mathematical notation, this operation is presented as \( \frac{150}{100} \).

• First, recognize that 150 divided by 100 asks, 'How many times does 100 fit into 150?'
• The answer is 1.5, because 100 goes into 150 one time completely (100 out of 100) and then half of another 100 (50 out of 100).

Breaking it down further:

• 100 fits into 150 exactly once, which accounts for 100 out of the 150.
• There are 50 units left after taking one full 100 out of 150. This 50 out of 100 simplifies to 0.5 as a fraction of another hundred.

Thus, by performing the division \( \frac{150}{100} = 1.5 \), you convert the percentage to its correct decimal form, ensuring the process is accurate and easily understood.