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Solution for 202 is what percent of 20:

202:20*100 =

(202*100):20 =

20200:20 = 1010

Now we have: 202 is what percent of 20 = 1010

Question: 202 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

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

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

{100\%}={20}(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{20}{202}

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

\frac{x\%}{100\%}=\frac{202}{20}

\Rightarrow{x} = {1010\%}

Therefore, {202} is {1010\%} of {20}.

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Solution for 20 is what percent of 202:

20:202*100 =

(20*100):202 =

2000:202 = 9.9

Now we have: 20 is what percent of 202 = 9.9

Question: 20 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\%}={20}.

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

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

{x\%}={20}(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}{20}

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

\frac{x\%}{100\%}=\frac{20}{202}

\Rightarrow{x} = {9.9\%}

Therefore, {20} is {9.9\%} of {202}.