#### Solution for 108 is what percent of 200:

108: 200*100 =

(108*100): 200 =

10800: 200 = 54

Now we have: 108 is what percent of 200 = 54

Question: 108 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={ 200}.

Step 4: In the same vein, {x\%}={108}.

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

{100\%}={ 200}(1).

{x\%}={108}(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{ 200}{108}

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

\frac{x\%}{100\%}=\frac{108}{ 200}

\Rightarrow{x} = {54\%}

Therefore, {108} is {54\%} of { 200}.

#### Solution for 200 is what percent of 108:

200:108*100 =

( 200*100):108 =

20000:108 = 185.19

Now we have: 200 is what percent of 108 = 185.19

Question: 200 is what percent of 108?

Percentage solution with steps:

Step 1: We make the assumption that 108 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\%}={108}.

Step 4: In the same vein, {x\%}={ 200}.

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

{100\%}={108}(1).

{x\%}={ 200}(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{108}{ 200}

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

\frac{x\%}{100\%}=\frac{ 200}{108}

\Rightarrow{x} = {185.19\%}

Therefore, { 200} is {185.19\%} of {108}.

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