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Solution for 2012 is what percent of 46:

2012:46*100 =

(2012*100):46 =

201200:46 = 4373.91

Now we have: 2012 is what percent of 46 = 4373.91

Question: 2012 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={2012}.

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

{100\%}={46}(1).

{x\%}={2012}(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{46}{2012}

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

\frac{x\%}{100\%}=\frac{2012}{46}

\Rightarrow{x} = {4373.91\%}

Therefore, {2012} is {4373.91\%} of {46}.

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Solution for 46 is what percent of 2012:

46:2012*100 =

(46*100):2012 =

4600:2012 = 2.29

Now we have: 46 is what percent of 2012 = 2.29

Question: 46 is what percent of 2012?

Percentage solution with steps:

Step 1: We make the assumption that 2012 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\%}={2012}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={2012}(1).

{x\%}={46}(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{2012}{46}

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

\frac{x\%}{100\%}=\frac{46}{2012}

\Rightarrow{x} = {2.29\%}

Therefore, {46} is {2.29\%} of {2012}.