Arturo O. answered • 01/06/18

Experienced Physics Teacher for Physics Tutoring

Alan J.S. V.

asked • 01/06/18Like 50% out of 100% is 75%, & 75% out of 100% is 87%, so what is 65% out of 100%, is it 85%.

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Arturo O. answered • 01/06/18

Experienced Physics Teacher for Physics Tutoring

Frank C. answered • 01/06/18

Professional and Passionate Math Tutor

"50% out of 100%" is not the right way to word it. Let me explain....

The word "percent" actually breaks down to "per cent," meaning ÷**100**.

So 50% = 50÷100 = 0.50

75% = 75÷100 = 0.75

65% = 65÷100 = 0.65

100% = 100÷100 = 1.00, this is the same as moving the decimal place over by two digits.

"out of" is confusing, it can mean one of two things:

- Just saying "of" by itself in a word problem will multiply (×) those two things together, whether they are
**percent**numbers or**value**numbers (not percents) - Saying "out of" in a word problem will divide (÷) the two things, but we can only use it for
**value**numbers (not percents); we*cannot*use it with percent numbers

So to emphasize what another tutor told you the last time you asked this question:

50% of 100% = (50÷100) × (100÷100) = 0.50 × 1.00 = 0.50 = 50%

75% of 100% = (75÷100) × (100÷100) = 0.75 × 1.00 = 0.75 = 75%

65% of 100% = (65÷100) × (100÷100) = 0.65 × 1.00 = 0.65 = 65%

The number pattern you're given should not be using "out of" or "of."

What you're doing is taking the *Average* between the two percents. For example, say you got a 50% on your first test and a 100% on your second test, your current Major Grade in the class would have to be the *Average* between the two. The formula looks like this

- (x
_{1}+ x_{2})/2 = A

Let me apply it here:

(50% + 100%)/2 = (0.50 + 1.00)/2 = (1.50)/2 = 0.75 = 75%

(75% + 100%)/2 = (0.75 + 1.00)/2 = (1.75)/2 = 0.875 = 87.5%

(65% + 100%)/2 = (0.65 + 1.00)/2 = (1.65)/2 = 0.825 = **82.5%**

Kenneth S. answered • 01/06/18

Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

Flaws in this question.

1. 'OUT OF'

2. PREVIOUSLY POSTED & DEALT WITH.

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