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Solution for 29.5 is what percent of 55:

29.5:55*100 =

(29.5*100):55 =

2950:55 = 53.636363636364

Now we have: 29.5 is what percent of 55 = 53.636363636364

Question: 29.5 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={29.5}.

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

{100\%}={55}(1).

{x\%}={29.5}(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{55}{29.5}

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

\frac{x\%}{100\%}=\frac{29.5}{55}

\Rightarrow{x} = {53.636363636364\%}

Therefore, {29.5} is {53.636363636364\%} of {55}.

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• 29.5 is what percent of 100 = 29.5

Solution for 55 is what percent of 29.5:

55:29.5*100 =

(55*100):29.5 =

5500:29.5 = 186.4406779661

Now we have: 55 is what percent of 29.5 = 186.4406779661

Question: 55 is what percent of 29.5?

Percentage solution with steps:

Step 1: We make the assumption that 29.5 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\%}={29.5}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={29.5}(1).

{x\%}={55}(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{29.5}{55}

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

\frac{x\%}{100\%}=\frac{55}{29.5}

\Rightarrow{x} = {186.4406779661\%}

Therefore, {55} is {186.4406779661\%} of {29.5}.