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What is 200% as a decimal?

To express 200%200\% as a decimal, the result is 2.02.0.

To convert a percentage into a decimal, you divide the percentage by 100100. The term “percent” literally means “per hundred,” which is why this division is necessary. For example, to convert 200%200\%, you perform the calculation 200÷100200 \div 100, resulting in 2.02.0.

Let’s break this down further. Percentages represent numbers as fractions of a whole, specifically out of 100100. Therefore, 200%200\% can also be expressed as the fraction 200100\frac{200}{100}. When you carry out the division, you find that 200200 divided by 100100 equals 2.02.0.

This conversion process is essential in various mathematical contexts and real-life situations, such as calculating discounts, determining interest rates, and analyzing data. Mastering the ability to convert between percentages, decimals, and fractions is a fundamental skill in GCSE Maths.

Keep in mind that the general rule for converting any percentage to a decimal is to divide by 100100. For instance, 50%50\% converts to 0.50.5, 75%75\% becomes 0.750.75, and so forth. This conversion method applies universally, whether the percentage is below 100%100\%, exactly 100%100\%, or exceeds 100%100\%, as in the example of 200%200\%.

Answered by: Prof. Richard White
A-Level Maths Tutor
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