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Solution for 30 is what percent of 65.5:

30:65.5*100 =

(30*100):65.5 =

3000:65.5 = 45.801526717557

Now we have: 30 is what percent of 65.5 = 45.801526717557

Question: 30 is what percent of 65.5?

Percentage solution with steps:

Step 1: We make the assumption that 65.5 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\%}={65.5}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={65.5}(1).

{x\%}={30}(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{65.5}{30}

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

\frac{x\%}{100\%}=\frac{30}{65.5}

\Rightarrow{x} = {45.801526717557\%}

Therefore, {30} is {45.801526717557\%} of {65.5}.

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Solution for 65.5 is what percent of 30:

65.5:30*100 =

(65.5*100):30 =

6550:30 = 218.33333333333

Now we have: 65.5 is what percent of 30 = 218.33333333333

Question: 65.5 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

Step 4: In the same vein, {x\%}={65.5}.

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

{100\%}={30}(1).

{x\%}={65.5}(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{30}{65.5}

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

\frac{x\%}{100\%}=\frac{65.5}{30}

\Rightarrow{x} = {218.33333333333\%}

Therefore, {65.5} is {218.33333333333\%} of {30}.