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36 is 15% of what number? This is a common question that arises when dealing with percentages and calculations. Understanding how to calculate percentages can be a valuable skill in various areas of life, such as finance, shopping, and even simple everyday tasks. In this article, we will explore how to find the number that 36 is 15% of, along with some frequently asked questions about percentages.
To determine the number that 36 is 15% of, we need to use a simple formula. The formula to find a percentage of a number is:
(Number) x (Percentage) = (Result)
In this case, we know that the result is 36 and the percentage is 15%. Let’s substitute these values into the formula and solve for the number:
(Number) x (15%) = 36
To remove the percentage sign, we need to convert it to a decimal. To do this, divide the percentage by 100:
0.15 x (Number) = 36
Now, we can isolate the variable by dividing both sides of the equation by 0.15:
(Number) = 36 / 0.15
Calculating this equation, we find that the number is equal to 240. Therefore, 36 is 15% of 240.
Now, let’s address some frequently asked questions about percentages:
FAQs:
1. How do I calculate percentages?
To calculate percentages, you need to divide the part by the whole and multiply the result by 100. For instance, if you want to find what percentage 20 is of 100, divide 20 by 100 (0.2) and multiply the result by 100 to get 20%.
2. How can percentages be used in everyday life?
Percentages are used in various everyday scenarios. They can help determine discounts during sales, calculate tips at restaurants, analyze interest rates on loans, or even evaluate nutritional information on food labels.
3. What is the difference between percentage and percent?
Percentage and percent both refer to the same concept of expressing a fraction of a whole as a fraction of 100. The term “percentage” is often used in mathematical contexts, while “percent” is commonly used in general discussions.
4. How do I calculate a percentage increase or decrease?
To calculate a percentage increase or decrease, subtract the original value from the new value, divide the result by the original value, and multiply by 100. If the result is positive, it represents an increase, while a negative result indicates a decrease.
5. How can percentages be helpful in budgeting?
Percentages play a crucial role in budgeting as they allow individuals to allocate specific proportions of their income to different expenses. For example, one might decide to allocate 30% of their income to housing, 20% to savings, and 50% to other expenses.
6. How do percentages relate to fractions and decimals?
Percentages, fractions, and decimals are interconnected. Percentages can be expressed as fractions by dividing the percentage by 100. Similarly, percentages can be converted to decimals by dividing the percentage by 100. Fractions can also be converted to decimals and percentages using division or multiplication.
In conclusion, to find the number that 36 is 15% of, we use the formula (Number) x (Percentage) = (Result). By substituting the known values into the formula and solving for the number, we find that 36 is 15% of 240. Understanding percentages is essential in various aspects of life, and being able to calculate them accurately can be a valuable skill.
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