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Solution for 2011 is what percent of 26:

2011:26*100 =

(2011*100):26 =

201100:26 = 7734.62

Now we have: 2011 is what percent of 26 = 7734.62

Question: 2011 is what percent of 26?

Percentage solution with steps:

Step 1: We make the assumption that 26 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\%}={26}.

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

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

{100\%}={26}(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{26}{2011}

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

\frac{x\%}{100\%}=\frac{2011}{26}

\Rightarrow{x} = {7734.62\%}

Therefore, {2011} is {7734.62\%} of {26}.

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• 2011 is what percent of 100 = 2011

Solution for 26 is what percent of 2011:

26:2011*100 =

(26*100):2011 =

2600:2011 = 1.29

Now we have: 26 is what percent of 2011 = 1.29

Question: 26 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\%}={26}.

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

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

{x\%}={26}(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}{26}

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

\frac{x\%}{100\%}=\frac{26}{2011}

\Rightarrow{x} = {1.29\%}

Therefore, {26} is {1.29\%} of {2011}.