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Solution for 105.5 is what percent of 36:

105.5:36*100 =

(105.5*100):36 =

10550:36 = 293.05555555556

Now we have: 105.5 is what percent of 36 = 293.05555555556

Question: 105.5 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

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

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

{100\%}={36}(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{36}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{36}

\Rightarrow{x} = {293.05555555556\%}

Therefore, {105.5} is {293.05555555556\%} of {36}.

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Solution for 36 is what percent of 105.5:

36:105.5*100 =

(36*100):105.5 =

3600:105.5 = 34.123222748815

Now we have: 36 is what percent of 105.5 = 34.123222748815

Question: 36 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\%}={36}.

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

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

{x\%}={36}(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}{36}

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

\frac{x\%}{100\%}=\frac{36}{105.5}

\Rightarrow{x} = {34.123222748815\%}

Therefore, {36} is {34.123222748815\%} of {105.5}.