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Solution for 2 is what percent of 408:

2:408*100 =

(2*100):408 =

200:408 = 0.49

Now we have: 2 is what percent of 408 = 0.49

Question: 2 is what percent of 408?

Percentage solution with steps:

Step 1: We make the assumption that 408 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\%}={408}.

Step 4: In the same vein, {x\%}={2}.

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

{100\%}={408}(1).

{x\%}={2}(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{408}{2}

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

\frac{x\%}{100\%}=\frac{2}{408}

\Rightarrow{x} = {0.49\%}

Therefore, {2} is {0.49\%} of {408}.

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Solution for 408 is what percent of 2:

408:2*100 =

(408*100):2 =

40800:2 = 20400

Now we have: 408 is what percent of 2 = 20400

Question: 408 is what percent of 2?

Percentage solution with steps:

Step 1: We make the assumption that 2 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\%}={2}.

Step 4: In the same vein, {x\%}={408}.

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

{100\%}={2}(1).

{x\%}={408}(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{2}{408}

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

\frac{x\%}{100\%}=\frac{408}{2}

\Rightarrow{x} = {20400\%}

Therefore, {408} is {20400\%} of {2}.