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Solution for 105.5 is what percent of 33:

105.5:33*100 =

(105.5*100):33 =

10550:33 = 319.69696969697

Now we have: 105.5 is what percent of 33 = 319.69696969697

Question: 105.5 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

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

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

{100\%}={33}(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{33}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{33}

\Rightarrow{x} = {319.69696969697\%}

Therefore, {105.5} is {319.69696969697\%} of {33}.

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Solution for 33 is what percent of 105.5:

33:105.5*100 =

(33*100):105.5 =

3300:105.5 = 31.279620853081

Now we have: 33 is what percent of 105.5 = 31.279620853081

Question: 33 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\%}={33}.

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

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

{x\%}={33}(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}{33}

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

\frac{x\%}{100\%}=\frac{33}{105.5}

\Rightarrow{x} = {31.279620853081\%}

Therefore, {33} is {31.279620853081\%} of {105.5}.