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# percent

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What   percent   of   24   is   80?

Oct 27, 2020

#1
+9182
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What percent of 24 is 80?

x%  of  24   =   80

Replace  %  with  /100   and   replace  "of"  with  *

x/100  *  24   =   80

Divide both sides of the equation by  24

x/100   =   80/24

Multiply both sides of the equation by 100

x   =   80/24 * 100

Calculate  80/24 * 100

x   ≈   333.33

So.....

333.33%  of  24  is  80.

Oct 27, 2020
#2
-1
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24: 80*100 =

( 24*100): 80 =

2400: 80 = 30

Now we have: 24 is what percent of 80 = 30

Question: 24 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=80$100%=80​.

Step 4: In the same vein, $x\%=24$x%=24​.

Step 5: This gives us a pair of simple equations:

$100\%=80(1)$100%=80(1)​.

$x\%=24(2)$x%=24(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{80}{24}$100%x%​=8024​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{24}{80}$x%100%​=2480​​

$\Rightarrow x=30\%$⇒x=30%​

Therefore, $24$24​ is $30\%$30%​ of $80$80​.

Oct 27, 2020
#3
+112504
0

Hi Johnpeter,

Welcome to the forum :)

Questions like this can be very confusing.

The question is

What   percent   of   24   is   80?

You have answered a different question

i.e.

What   percent   of   80   is   24?