#### Solution for 21 is what percent of 40:

21:40*100 =

( 21*100):40 =

2100:40 = 52.5

Now we have: 21 is what percent of 40 = 52.5

Question: 21 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={40}.

Step 4: In the same vein, {x\%}={ 21}.

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

{100\%}={40}(1).

{x\%}={ 21}(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{40}{ 21}

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

\frac{x\%}{100\%}=\frac{ 21}{40}

\Rightarrow{x} = {52.5\%}

Therefore, { 21} is {52.5\%} of {40}.

#### Solution for 40 is what percent of 21:

40: 21*100 =

(40*100): 21 =

4000: 21 = 190.48

Now we have: 40 is what percent of 21 = 190.48

Question: 40 is what percent of 21?

Percentage solution with steps:

Step 1: We make the assumption that 21 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={ 21}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={ 21}(1).

{x\%}={40}(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{ 21}{40}

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

\frac{x\%}{100\%}=\frac{40}{ 21}

\Rightarrow{x} = {190.48\%}

Therefore, {40} is {190.48\%} of { 21}.

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