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Solution for 105.5 is what percent of 83:

105.5:83*100 =

(105.5*100):83 =

10550:83 = 127.10843373494

Now we have: 105.5 is what percent of 83 = 127.10843373494

Question: 105.5 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\%}={105.5}.

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

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

{x\%}={105.5}(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}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{83}

\Rightarrow{x} = {127.10843373494\%}

Therefore, {105.5} is {127.10843373494\%} of {83}.

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• 105.5 is what percent of 100 = 105.5

Solution for 83 is what percent of 105.5:

83:105.5*100 =

(83*100):105.5 =

8300:105.5 = 78.672985781991

Now we have: 83 is what percent of 105.5 = 78.672985781991

Question: 83 is what percent of 105.5?

Percentage solution with steps:

Step 1: We make the assumption that 105.5 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\%}={105.5}.

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

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

{100\%}={105.5}(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{105.5}{83}

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

\frac{x\%}{100\%}=\frac{83}{105.5}

\Rightarrow{x} = {78.672985781991\%}

Therefore, {83} is {78.672985781991\%} of {105.5}.