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PercentagesArithmeticMiddle schoolabout 0:39

75 is 36% of what number?: animated lesson

A narrated, step-by-step percentages video lesson with captions. Final answer: 208.333333333.

SpeedLanguage

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Working with percentages
75 is 36% of what number?
2. Step by step
1. $36\% = 0.36$
  Convert the percent to a decimal
2. $\frac{75}{0.36} = 208.333333333$
  Divide the part by the decimal
3. The answer
$208.333333333$
75 ÷ 0.36 = 208.333333333
4. Check
- Check: 36% of 208.333333333 = 75

Transcript

The problem. Here is the problem: 75 is 36 percent of what number? Find the whole when a part and its percentage are known.

Step by step. Convert the percent to a decimal. Divide the part by the decimal.

The answer. So the answer is 208.333333333. If 75 is 36 percent of a number, that number is 208.333333333.

Check. Check: 36 percent of 208.333333333 equals 75.

About percentages

Percent of a number, what percent one number is of another, the whole from a part, and percent change.

75 is 36% of what number?: Percentages Step-by-Step Lesson