#### Solution for 109 is what percent of 216:

109:216*100 =

(109*100):216 =

10900:216 = 50.46

Now we have: 109 is what percent of 216 = 50.46

Question: 109 is what percent of 216?

Percentage solution with steps:

Step 1: We make the assumption that 216 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\%}={216}.

Step 4: In the same vein, {x\%}={109}.

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

{100\%}={216}(1).

{x\%}={109}(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{216}{109}

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

\frac{x\%}{100\%}=\frac{109}{216}

\Rightarrow{x} = {50.46\%}

Therefore, {109} is {50.46\%} of {216}.

#### Solution for 216 is what percent of 109:

216:109*100 =

(216*100):109 =

21600:109 = 198.17

Now we have: 216 is what percent of 109 = 198.17

Question: 216 is what percent of 109?

Percentage solution with steps:

Step 1: We make the assumption that 109 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\%}={109}.

Step 4: In the same vein, {x\%}={216}.

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

{100\%}={109}(1).

{x\%}={216}(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{109}{216}

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

\frac{x\%}{100\%}=\frac{216}{109}

\Rightarrow{x} = {198.17\%}

Therefore, {216} is {198.17\%} of {109}.

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