Question

What percent of 400 is 20?

Answer 1

Answer:

5 %

Step-by-step explanation:

Answer 2

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​.