#### Solution for 8 is what percent of 21:

8:21*100 =

(8*100):21 =

800:21 = 38.1

Now we have: 8 is what percent of 21 = 38.1

Question: 8 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\%}={8}.

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

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

{x\%}={8}(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}{8}

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

\frac{x\%}{100\%}=\frac{8}{21}

\Rightarrow{x} = {38.1\%}

Therefore, {8} is {38.1\%} of {21}.

#### Solution for 21 is what percent of 8:

21:8*100 =

(21*100):8 =

2100:8 = 262.5

Now we have: 21 is what percent of 8 = 262.5

Question: 21 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 8 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\%}={8}.

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

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

{100\%}={8}(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{8}{21}

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

\frac{x\%}{100\%}=\frac{21}{8}

\Rightarrow{x} = {262.5\%}

Therefore, {21} is {262.5\%} of {8}.

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