#### Solution for 202 is what percent of 100:

202: 100*100 =

(202*100): 100 =

20200: 100 = 202

Now we have: 202 is what percent of 100 = 202

Question: 202 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={ 100}.

Step 4: In the same vein, {x\%}={202}.

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

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

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

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

\Rightarrow{x} = {202\%}

Therefore, {202} is {202\%} of { 100}.

#### Solution for 100 is what percent of 202:

100:202*100 =

( 100*100):202 =

10000:202 = 49.5

Now we have: 100 is what percent of 202 = 49.5

Question: 100 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\%}={ 100}.

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

{100\%}={202}(1).

{x\%}={ 100}(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}{ 100}

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

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

\Rightarrow{x} = {49.5\%}

Therefore, { 100} is {49.5\%} of {202}.

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