#### Solution for 4.08 is what percent of 200:

4.08:200*100 =

(4.08*100):200 =

408:200 = 2.04

Now we have: 4.08 is what percent of 200 = 2.04

Question: 4.08 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

Step 4: In the same vein, {x\%}={4.08}.

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

{100\%}={200}(1).

{x\%}={4.08}(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{200}{4.08}

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

\frac{x\%}{100\%}=\frac{4.08}{200}

\Rightarrow{x} = {2.04\%}

Therefore, {4.08} is {2.04\%} of {200}.

#### Solution for 200 is what percent of 4.08:

200:4.08*100 =

(200*100):4.08 =

20000:4.08 = 4901.9607843137

Now we have: 200 is what percent of 4.08 = 4901.9607843137

Question: 200 is what percent of 4.08?

Percentage solution with steps:

Step 1: We make the assumption that 4.08 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\%}={4.08}.

Step 4: In the same vein, {x\%}={200}.

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

{100\%}={4.08}(1).

{x\%}={200}(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{4.08}{200}

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

\frac{x\%}{100\%}=\frac{200}{4.08}

\Rightarrow{x} = {4901.9607843137\%}

Therefore, {200} is {4901.9607843137\%} of {4.08}.

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