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Solution for 82 is what percent of 97:

82:97*100 =

(82*100):97 =

8200:97 = 84.54

Now we have: 82 is what percent of 97 = 84.54

Question: 82 is what percent of 97?

Percentage solution with steps:

Step 1: We make the assumption that 97 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\%}={97}.

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

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

{100\%}={97}(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{97}{82}

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

\frac{x\%}{100\%}=\frac{82}{97}

\Rightarrow{x} = {84.54\%}

Therefore, {82} is {84.54\%} of {97}.

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Solution for 97 is what percent of 82:

97:82*100 =

(97*100):82 =

9700:82 = 118.29

Now we have: 97 is what percent of 82 = 118.29

Question: 97 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\%}={97}.

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

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

{x\%}={97}(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}{97}

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

\frac{x\%}{100\%}=\frac{97}{82}

\Rightarrow{x} = {118.29\%}

Therefore, {97} is {118.29\%} of {82}.