#### Solution for 208 is what percent of 675:

208:675*100 =

(208*100):675 =

20800:675 = 30.81

Now we have: 208 is what percent of 675 = 30.81

Question: 208 is what percent of 675?

Percentage solution with steps:

Step 1: We make the assumption that 675 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\%}={675}.

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

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

{100\%}={675}(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{675}{208}

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

\frac{x\%}{100\%}=\frac{208}{675}

\Rightarrow{x} = {30.81\%}

Therefore, {208} is {30.81\%} of {675}.

#### Solution for 675 is what percent of 208:

675:208*100 =

(675*100):208 =

67500:208 = 324.52

Now we have: 675 is what percent of 208 = 324.52

Question: 675 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\%}={675}.

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

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

{x\%}={675}(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}{675}

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

\frac{x\%}{100\%}=\frac{675}{208}

\Rightarrow{x} = {324.52\%}

Therefore, {675} is {324.52\%} of {208}.

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