Have you ever been asked what percentage one number is of another? Perhaps you're trying to work out how much of your salary goes towards rent, or you're trying to figure out what percentage of your daily calorie allowance you've consumed. One question that often crops up is "150 is what percentage of 240?" In this article, we'll explore how to answer this question and give you some tips on how to work out percentages quickly and easily.
What is a Percentage?
Before we dive into the specifics of how to work out what percentage 150 is of 240, let's take a step back and define what we mean by the term "percentage." A percentage is a way of expressing a number as a fraction of 100. For example, if you have 50 apples and you want to express how many of them are red, you might say "25% of the apples are red." This means that 25 out of 100 apples are red.
Another way of thinking about percentages is to imagine that you're dividing something into 100 equal parts. If you have 100% of something, you have all of it. If you have 50%, you have half of it, and so on.
Working Out What Percentage 150 is of 240
Now that we've defined what a percentage is, let's move on to the question at hand: what percentage is 150 of 240? To work this out, we need to use a simple formula:
Percentage = (Part ÷ Whole) x 100
In this case, the "part" is 150 and the "whole" is 240. So, we can plug these numbers into the formula and get:
Percentage = (150 ÷ 240) x 100
Percentage = 0.625 x 100
Percentage = 62.5%
So, 150 is 62.5% of 240.
Tips for Working Out Percentages
Convert Fractions to Decimals
One useful tip for working out percentages is to convert any fractions to decimals. For example, if you're trying to work out what percentage 3/4 is, it's much easier to convert this to 0.75 and then multiply by 100 to get 75%.
Use Proportions
Another tip is to use proportions. For example, if you know that 40% of a group of people are men, and you also know that there are 120 people in the group, you can set up a proportion:
40/100 = x/120
Then, you can cross-multiply and solve for x:
40 x 120 = 100 x
4800 = 100x
x = 48
So, there are 48 men in the group.
Conclusion
Working out percentages can be a useful skill to have, whether you're trying to calculate how much of your budget goes towards certain expenses or you're trying to figure out what percentage of your exam questions you got right. Remember that a percentage is a way of expressing a number as a fraction of 100, and that you can use the formula "Percentage = (Part ÷ Whole) x 100" to work out percentages. With a little practice, you'll be a percentage pro in no time!
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