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Solution for 109 is what percent of 65:

109:65*100 =

(109*100):65 =

10900:65 = 167.69

Now we have: 109 is what percent of 65 = 167.69

Question: 109 is what percent of 65?

Percentage solution with steps:

Step 1: We make the assumption that 65 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\%}={65}.

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

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

{100\%}={65}(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{65}{109}

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

\frac{x\%}{100\%}=\frac{109}{65}

\Rightarrow{x} = {167.69\%}

Therefore, {109} is {167.69\%} of {65}.

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Solution for 65 is what percent of 109:

65:109*100 =

(65*100):109 =

6500:109 = 59.63

Now we have: 65 is what percent of 109 = 59.63

Question: 65 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\%}={65}.

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

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

{x\%}={65}(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}{65}

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

\frac{x\%}{100\%}=\frac{65}{109}

\Rightarrow{x} = {59.63\%}

Therefore, {65} is {59.63\%} of {109}.