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Solution for 122 is what percent of 82:

122:82*100 =

(122*100):82 =

12200:82 = 148.78

Now we have: 122 is what percent of 82 = 148.78

Question: 122 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\%}={122}.

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

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

{x\%}={122}(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}{122}

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

\frac{x\%}{100\%}=\frac{122}{82}

\Rightarrow{x} = {148.78\%}

Therefore, {122} is {148.78\%} of {82}.

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Solution for 82 is what percent of 122:

82:122*100 =

(82*100):122 =

8200:122 = 67.21

Now we have: 82 is what percent of 122 = 67.21

Question: 82 is what percent of 122?

Percentage solution with steps:

Step 1: We make the assumption that 122 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\%}={122}.

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

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

{100\%}={122}(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{122}{82}

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

\frac{x\%}{100\%}=\frac{82}{122}

\Rightarrow{x} = {67.21\%}

Therefore, {82} is {67.21\%} of {122}.