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Solution for 208 is what percent of 47:

208:47*100 =

(208*100):47 =

20800:47 = 442.55

Now we have: 208 is what percent of 47 = 442.55

Question: 208 is what percent of 47?

Percentage solution with steps:

Step 1: We make the assumption that 47 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\%}={47}.

Step 4: In the same vein, {x\%}={208}.

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

{100\%}={47}(1).

{x\%}={208}(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{47}{208}

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

\frac{x\%}{100\%}=\frac{208}{47}

\Rightarrow{x} = {442.55\%}

Therefore, {208} is {442.55\%} of {47}.

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Solution for 47 is what percent of 208:

47:208*100 =

(47*100):208 =

4700:208 = 22.6

Now we have: 47 is what percent of 208 = 22.6

Question: 47 is what percent of 208?

Percentage solution with steps:

Step 1: We make the assumption that 208 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\%}={208}.

Step 4: In the same vein, {x\%}={47}.

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

{100\%}={208}(1).

{x\%}={47}(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{208}{47}

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

\frac{x\%}{100\%}=\frac{47}{208}

\Rightarrow{x} = {22.6\%}

Therefore, {47} is {22.6\%} of {208}.