#### Solution for 83 is what percent of 777:

83:777*100 =

(83*100):777 =

8300:777 = 10.68

Now we have: 83 is what percent of 777 = 10.68

Question: 83 is what percent of 777?

Percentage solution with steps:

Step 1: We make the assumption that 777 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\%}={777}.

Step 4: In the same vein, {x\%}={83}.

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

{100\%}={777}(1).

{x\%}={83}(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{777}{83}

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

\frac{x\%}{100\%}=\frac{83}{777}

\Rightarrow{x} = {10.68\%}

Therefore, {83} is {10.68\%} of {777}.

#### Solution for 777 is what percent of 83:

777:83*100 =

(777*100):83 =

77700:83 = 936.14

Now we have: 777 is what percent of 83 = 936.14

Question: 777 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

Step 4: In the same vein, {x\%}={777}.

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

{100\%}={83}(1).

{x\%}={777}(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{83}{777}

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

\frac{x\%}{100\%}=\frac{777}{83}

\Rightarrow{x} = {936.14\%}

Therefore, {777} is {936.14\%} of {83}.

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