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Solution for 109 is what percent of 91:

109:91*100 =

(109*100):91 =

10900:91 = 119.78

Now we have: 109 is what percent of 91 = 119.78

Question: 109 is what percent of 91?

Percentage solution with steps:

Step 1: We make the assumption that 91 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\%}={91}.

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

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

{100\%}={91}(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{91}{109}

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

\frac{x\%}{100\%}=\frac{109}{91}

\Rightarrow{x} = {119.78\%}

Therefore, {109} is {119.78\%} of {91}.

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Solution for 91 is what percent of 109:

91:109*100 =

(91*100):109 =

9100:109 = 83.49

Now we have: 91 is what percent of 109 = 83.49

Question: 91 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\%}={91}.

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

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

{x\%}={91}(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}{91}

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

\frac{x\%}{100\%}=\frac{91}{109}

\Rightarrow{x} = {83.49\%}

Therefore, {91} is {83.49\%} of {109}.