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Solution for 1055 is what percent of 82:

1055:82*100 =

(1055*100):82 =

105500:82 = 1286.59

Now we have: 1055 is what percent of 82 = 1286.59

Question: 1055 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\%}={1055}.

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

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

{x\%}={1055}(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}{1055}

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

\frac{x\%}{100\%}=\frac{1055}{82}

\Rightarrow{x} = {1286.59\%}

Therefore, {1055} is {1286.59\%} of {82}.

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Solution for 82 is what percent of 1055:

82:1055*100 =

(82*100):1055 =

8200:1055 = 7.77

Now we have: 82 is what percent of 1055 = 7.77

Question: 82 is what percent of 1055?

Percentage solution with steps:

Step 1: We make the assumption that 1055 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\%}={1055}.

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

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

{100\%}={1055}(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{1055}{82}

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

\frac{x\%}{100\%}=\frac{82}{1055}

\Rightarrow{x} = {7.77\%}

Therefore, {82} is {7.77\%} of {1055}.