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Solution for 1100 is what percent of 83:

1100:83*100 =

(1100*100):83 =

110000:83 = 1325.3

Now we have: 1100 is what percent of 83 = 1325.3

Question: 1100 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\%}={1100}.

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

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

{x\%}={1100}(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}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{83}

\Rightarrow{x} = {1325.3\%}

Therefore, {1100} is {1325.3\%} of {83}.

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Solution for 83 is what percent of 1100:

83:1100*100 =

(83*100):1100 =

8300:1100 = 7.55

Now we have: 83 is what percent of 1100 = 7.55

Question: 83 is what percent of 1100?

Percentage solution with steps:

Step 1: We make the assumption that 1100 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\%}={1100}.

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

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

{100\%}={1100}(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{1100}{83}

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

\frac{x\%}{100\%}=\frac{83}{1100}

\Rightarrow{x} = {7.55\%}

Therefore, {83} is {7.55\%} of {1100}.