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Solution for 208 is what percent of 76:

208:76*100 =

(208*100):76 =

20800:76 = 273.68

Now we have: 208 is what percent of 76 = 273.68

Question: 208 is what percent of 76?

Percentage solution with steps:

Step 1: We make the assumption that 76 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\%}={76}.

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

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

{100\%}={76}(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{76}{208}

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

\frac{x\%}{100\%}=\frac{208}{76}

\Rightarrow{x} = {273.68\%}

Therefore, {208} is {273.68\%} of {76}.

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Solution for 76 is what percent of 208:

76:208*100 =

(76*100):208 =

7600:208 = 36.54

Now we have: 76 is what percent of 208 = 36.54

Question: 76 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\%}={76}.

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

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

{x\%}={76}(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}{76}

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

\frac{x\%}{100\%}=\frac{76}{208}

\Rightarrow{x} = {36.54\%}

Therefore, {76} is {36.54\%} of {208}.