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Corey Newman
Mathematics
24 October, 18:13
What percent of 400 is 20?
+5
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1
)
Wendy Crawford
24 October, 18:36
0
Answer: 5%
Explanation 1:
20:400*100 =
(20*100) : 400 =
2000:400 = 5
Explanation 2:
Step 1: We make the assumption that 400 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/%=400$100%=400 .
Step 4: In the same vein, $x/%=20$x%=20 .
Step 5: This gives us a pair of simple equations:
$100/%=400 (1) $100%=400 (1) .
$x/%=20 (2) $x%=20 (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
$/frac{100/%}{x/%}=/frac{400}{20}$
100%
x% =
400
20
Step 7: Taking the inverse (or reciprocal) of both sides yields
$/frac{x/%}{100/%}=/frac{20}{400}$
x%
100% =
20
400
$/Rightarrow x=5/%$⇒x=5%
Therefore, $20$20 is $5/%$5% of $400$400 .
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