#### Solution for 15.8 is what percent of 208:

15.8:208*100 =

(15.8*100):208 =

1580:208 = 7.5961538461538

Now we have: 15.8 is what percent of 208 = 7.5961538461538

Question: 15.8 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\%}={15.8}.

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

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

{x\%}={15.8}(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}{15.8}

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

\frac{x\%}{100\%}=\frac{15.8}{208}

\Rightarrow{x} = {7.5961538461538\%}

Therefore, {15.8} is {7.5961538461538\%} of {208}.

#### Solution for 208 is what percent of 15.8:

208:15.8*100 =

(208*100):15.8 =

20800:15.8 = 1316.4556962025

Now we have: 208 is what percent of 15.8 = 1316.4556962025

Question: 208 is what percent of 15.8?

Percentage solution with steps:

Step 1: We make the assumption that 15.8 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\%}={15.8}.

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

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

{100\%}={15.8}(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{15.8}{208}

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

\frac{x\%}{100\%}=\frac{208}{15.8}

\Rightarrow{x} = {1316.4556962025\%}

Therefore, {208} is {1316.4556962025\%} of {15.8}.

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