#### Solution for 30.5 is what percent of 52:

30.5:52*100 =

(30.5*100):52 =

3050:52 = 58.653846153846

Now we have: 30.5 is what percent of 52 = 58.653846153846

Question: 30.5 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={30.5}.

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

{100\%}={52}(1).

{x\%}={30.5}(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{52}{30.5}

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

\frac{x\%}{100\%}=\frac{30.5}{52}

\Rightarrow{x} = {58.653846153846\%}

Therefore, {30.5} is {58.653846153846\%} of {52}.

#### Solution for 52 is what percent of 30.5:

52:30.5*100 =

(52*100):30.5 =

5200:30.5 = 170.49180327869

Now we have: 52 is what percent of 30.5 = 170.49180327869

Question: 52 is what percent of 30.5?

Percentage solution with steps:

Step 1: We make the assumption that 30.5 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\%}={30.5}.

Step 4: In the same vein, {x\%}={52}.

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

{100\%}={30.5}(1).

{x\%}={52}(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{30.5}{52}

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

\frac{x\%}{100\%}=\frac{52}{30.5}

\Rightarrow{x} = {170.49180327869\%}

Therefore, {52} is {170.49180327869\%} of {30.5}.

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