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Solution for 107.5 is what percent of 82:

107.5:82*100 =

(107.5*100):82 =

10750:82 = 131.09756097561

Now we have: 107.5 is what percent of 82 = 131.09756097561

Question: 107.5 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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\%}={82}.

Step 4: In the same vein, {x\%}={107.5}.

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

{100\%}={82}(1).

{x\%}={107.5}(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{82}{107.5}

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

\frac{x\%}{100\%}=\frac{107.5}{82}

\Rightarrow{x} = {131.09756097561\%}

Therefore, {107.5} is {131.09756097561\%} of {82}.

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• 107.5 is what percent of 100 = 107.5

Solution for 82 is what percent of 107.5:

82:107.5*100 =

(82*100):107.5 =

8200:107.5 = 76.279069767442

Now we have: 82 is what percent of 107.5 = 76.279069767442

Question: 82 is what percent of 107.5?

Percentage solution with steps:

Step 1: We make the assumption that 107.5 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\%}={107.5}.

Step 4: In the same vein, {x\%}={82}.

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

{100\%}={107.5}(1).

{x\%}={82}(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{107.5}{82}

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

\frac{x\%}{100\%}=\frac{82}{107.5}

\Rightarrow{x} = {76.279069767442\%}

Therefore, {82} is {76.279069767442\%} of {107.5}.