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Solution for 74 is what percent of 82:

74:82*100 =

(74*100):82 =

7400:82 = 90.24

Now we have: 74 is what percent of 82 = 90.24

Question: 74 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\%}={74}.

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

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

{x\%}={74}(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}{74}

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

\frac{x\%}{100\%}=\frac{74}{82}

\Rightarrow{x} = {90.24\%}

Therefore, {74} is {90.24\%} of {82}.

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Solution for 82 is what percent of 74:

82:74*100 =

(82*100):74 =

8200:74 = 110.81

Now we have: 82 is what percent of 74 = 110.81

Question: 82 is what percent of 74?

Percentage solution with steps:

Step 1: We make the assumption that 74 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\%}={74}.

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

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

{100\%}={74}(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{74}{82}

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

\frac{x\%}{100\%}=\frac{82}{74}

\Rightarrow{x} = {110.81\%}

Therefore, {82} is {110.81\%} of {74}.