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Solution for 82 is what percent of 89:

82:89*100 =

(82*100):89 =

8200:89 = 92.13

Now we have: 82 is what percent of 89 = 92.13

Question: 82 is what percent of 89?

Percentage solution with steps:

Step 1: We make the assumption that 89 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\%}={89}.

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

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

{100\%}={89}(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{89}{82}

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

\frac{x\%}{100\%}=\frac{82}{89}

\Rightarrow{x} = {92.13\%}

Therefore, {82} is {92.13\%} of {89}.

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Solution for 89 is what percent of 82:

89:82*100 =

(89*100):82 =

8900:82 = 108.54

Now we have: 89 is what percent of 82 = 108.54

Question: 89 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\%}={89}.

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

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

{x\%}={89}(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}{89}

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

\frac{x\%}{100\%}=\frac{89}{82}

\Rightarrow{x} = {108.54\%}

Therefore, {89} is {108.54\%} of {82}.