#### Solution for 215 is what percent of 208:

215:208*100 =

(215*100):208 =

21500:208 = 103.37

Now we have: 215 is what percent of 208 = 103.37

Question: 215 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\%}={215}.

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

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

{x\%}={215}(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}{215}

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

\frac{x\%}{100\%}=\frac{215}{208}

\Rightarrow{x} = {103.37\%}

Therefore, {215} is {103.37\%} of {208}.

#### Solution for 208 is what percent of 215:

208:215*100 =

(208*100):215 =

20800:215 = 96.74

Now we have: 208 is what percent of 215 = 96.74

Question: 208 is what percent of 215?

Percentage solution with steps:

Step 1: We make the assumption that 215 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\%}={215}.

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

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

{100\%}={215}(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{215}{208}

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

\frac{x\%}{100\%}=\frac{208}{215}

\Rightarrow{x} = {96.74\%}

Therefore, {208} is {96.74\%} of {215}.

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