Question

Question 2.Find:
(0) 36% of 400 (ii) 1623% of 32
Sol:​

Answer 1

Answer and Step-by-step explanation:

Question: What is 36. percent of 400?

Percentage solution with steps:  

Step 1: Our output value is 400.  

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 400 = 100%

Step 4: Similarly, x = 36%

Step 5: This results in a pair of simple equations:

400 = 100%

x = 36%

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

$\frac{400}{x}=\frac{100\%}{36.\%}$

Step 7: Again, the reciprocal of both sides gives  

$\frac{x}{400}=\frac{36.}{100}$  

$\Rightarrow x=144$  

Therefore,$36.\%$ of $400$ is $144$.

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Question: What is 32. percent of 1623?

Step 1: Divide 1623 by 100

In this case, the number that we are "comparing" to 100 is 1623, so we must first normalize the number by dividing it by 100. The operation we have to solve is this:

$\frac{1623}{100}=16.23$

Step 2: Multiply 16.23 by 32 to get the solution

Now that we have our normalized number, 16.23, we just have to multiply it by 32 to get our final answer. The formula for this is obviously quite simple:

$16.23*32=519.36$

Therefore, 32% of 1623 is 519.36.

Answer 2

Answer:

Step-by-step explanation:

Answer and Step-by-step explanation:

Question: What is 36. percent of 400?

Percentage solution with steps:

Step 1: Our output value is 400.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 400 = 100%

Step 4: Similarly, x = 36%

Step 5: This results in a pair of simple equations:

400 = 100%

x = 36%

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have

\frac{400}{x}=\frac{100\%}{36.\%}

x

400

​

=

36.%

100%

​

Step 7: Again, the reciprocal of both sides gives

\frac{x}{400}=\frac{36.}{100}

400

x

​

=

100

36.

​44⇒x=144

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