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Solution for 838 is what percent of 82:

838:82*100 =

(838*100):82 =

83800:82 = 1021.95

Now we have: 838 is what percent of 82 = 1021.95

Question: 838 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\%}={838}.

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

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

{x\%}={838}(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}{838}

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

\frac{x\%}{100\%}=\frac{838}{82}

\Rightarrow{x} = {1021.95\%}

Therefore, {838} is {1021.95\%} of {82}.

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• 838 is what percent of 100 = 838

Solution for 82 is what percent of 838:

82:838*100 =

(82*100):838 =

8200:838 = 9.79

Now we have: 82 is what percent of 838 = 9.79

Question: 82 is what percent of 838?

Percentage solution with steps:

Step 1: We make the assumption that 838 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\%}={838}.

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

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

{100\%}={838}(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{838}{82}

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

\frac{x\%}{100\%}=\frac{82}{838}

\Rightarrow{x} = {9.79\%}

Therefore, {82} is {9.79\%} of {838}.