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Solution for 105.5 is what percent of 13:

105.5:13*100 =

(105.5*100):13 =

10550:13 = 811.53846153846

Now we have: 105.5 is what percent of 13 = 811.53846153846

Question: 105.5 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={105.5}.

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

{100\%}={13}(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{13}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{13}

\Rightarrow{x} = {811.53846153846\%}

Therefore, {105.5} is {811.53846153846\%} of {13}.

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• 105.5 is what percent of 100 = 105.5

Solution for 13 is what percent of 105.5:

13:105.5*100 =

(13*100):105.5 =

1300:105.5 = 12.322274881517

Now we have: 13 is what percent of 105.5 = 12.322274881517

Question: 13 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\%}={13}.

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

{100\%}={105.5}(1).

{x\%}={13}(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}{13}

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

\frac{x\%}{100\%}=\frac{13}{105.5}

\Rightarrow{x} = {12.322274881517\%}

Therefore, {13} is {12.322274881517\%} of {105.5}.