Converting percents to decimals: 113.9%
About this video
The video writes 113.9% as a decimal. Because percent means per hundred, 113.9% is 113.9 divided by 100, and dividing by 100 moves the decimal point two places to the left, giving 1.139.
You'll be able to
- explain why a percent is the same as dividing by 100.
- convert a percent (including one over 100%) to a decimal by moving the decimal point two places left.
Key words
- percent
- Per hundred; 113.9% means 113.9 per 100.
- decimal point
- The dot that separates whole numbers from parts of a whole; it moves left when you divide by 10.
Transcript
Let's write 113.9% as a decimal. So percent, this symbol right over here, literally means per hundred. So this is the same thing as 113.9 per 100, which is the same thing as 113.9 divided by 100. So essentially, if we want to write this as a decimal, we just take a 113.9, and we divide it by 100.
And to do that, 113.9 divided by 100. If you divide by 10, you move the decimal once to the left. If you divide by 100, you're moving the decimal twice to the left. If we're doing it by 1,000, we would go to the left once more. 10,000, each time you divide by 10, you'd go one step to the left, which hopefully makes sense.
If we were to multiply by 10, we would be moving the decimal over to the right, and there are other videos that go into far more depth on the intuition behind that. But anyway, we're dividing 113.9 by 100, so move the decimal two spaces to the left. So the decimal will end up right over here.
So this will be equal to 1.139. And we are done.
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