#### Solution for 21 is what percent of 202:

21:202*100 =

(21*100):202 =

2100:202 = 10.4

Now we have: 21 is what percent of 202 = 10.4

Question: 21 is what percent of 202?

Percentage solution with steps:

Step 1: We make the assumption that 202 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\%}={202}.

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

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

{100\%}={202}(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{202}{21}

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

\frac{x\%}{100\%}=\frac{21}{202}

\Rightarrow{x} = {10.4\%}

Therefore, {21} is {10.4\%} of {202}.

#### Solution for 202 is what percent of 21:

202:21*100 =

(202*100):21 =

20200:21 = 961.9

Now we have: 202 is what percent of 21 = 961.9

Question: 202 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\%}={202}.

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

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

{x\%}={202}(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}{202}

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

\frac{x\%}{100\%}=\frac{202}{21}

\Rightarrow{x} = {961.9\%}

Therefore, {202} is {961.9\%} of {21}.

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