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Solution for 2011 is what percent of 52:

2011:52*100 =

(2011*100):52 =

201100:52 = 3867.31

Now we have: 2011 is what percent of 52 = 3867.31

Question: 2011 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={2011}.

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

{100\%}={52}(1).

{x\%}={2011}(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{52}{2011}

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

\frac{x\%}{100\%}=\frac{2011}{52}

\Rightarrow{x} = {3867.31\%}

Therefore, {2011} is {3867.31\%} of {52}.

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• 2011 is what percent of 100 = 2011

Solution for 52 is what percent of 2011:

52:2011*100 =

(52*100):2011 =

5200:2011 = 2.59

Now we have: 52 is what percent of 2011 = 2.59

Question: 52 is what percent of 2011?

Percentage solution with steps:

Step 1: We make the assumption that 2011 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\%}={2011}.

Step 4: In the same vein, {x\%}={52}.

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

{100\%}={2011}(1).

{x\%}={52}(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{2011}{52}

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

\frac{x\%}{100\%}=\frac{52}{2011}

\Rightarrow{x} = {2.59\%}

Therefore, {52} is {2.59\%} of {2011}.