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Solution for 2006 is what percent of 49:

2006:49*100 =

(2006*100):49 =

200600:49 = 4093.88

Now we have: 2006 is what percent of 49 = 4093.88

Question: 2006 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={2006}.

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

{100\%}={49}(1).

{x\%}={2006}(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{49}{2006}

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

\frac{x\%}{100\%}=\frac{2006}{49}

\Rightarrow{x} = {4093.88\%}

Therefore, {2006} is {4093.88\%} of {49}.

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Solution for 49 is what percent of 2006:

49:2006*100 =

(49*100):2006 =

4900:2006 = 2.44

Now we have: 49 is what percent of 2006 = 2.44

Question: 49 is what percent of 2006?

Percentage solution with steps:

Step 1: We make the assumption that 2006 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\%}={2006}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={2006}(1).

{x\%}={49}(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{2006}{49}

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

\frac{x\%}{100\%}=\frac{49}{2006}

\Rightarrow{x} = {2.44\%}

Therefore, {49} is {2.44\%} of {2006}.