#### Solution for 82 is what percent of 59:

82:59*100 =

(82*100):59 =

8200:59 = 138.98

Now we have: 82 is what percent of 59 = 138.98

Question: 82 is what percent of 59?

Percentage solution with steps:

Step 1: We make the assumption that 59 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\%}={59}.

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

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

{100\%}={59}(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{59}{82}

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

\frac{x\%}{100\%}=\frac{82}{59}

\Rightarrow{x} = {138.98\%}

Therefore, {82} is {138.98\%} of {59}.

#### Solution for 59 is what percent of 82:

59:82*100 =

(59*100):82 =

5900:82 = 71.95

Now we have: 59 is what percent of 82 = 71.95

Question: 59 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\%}={59}.

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

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

{x\%}={59}(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}{59}

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

\frac{x\%}{100\%}=\frac{59}{82}

\Rightarrow{x} = {71.95\%}

Therefore, {59} is {71.95\%} of {82}.

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