#### Solution for 12.5 is what percent of 20.00:

12.5:20.00*100 =

(12.5*100):20.00 =

1250:20.00 = 62.5

Now we have: 12.5 is what percent of 20.00 = 62.5

Question: 12.5 is what percent of 20.00?

Percentage solution with steps:

Step 1: We make the assumption that 20.00 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\%}={20.00}.

Step 4: In the same vein, {x\%}={12.5}.

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

{100\%}={20.00}(1).

{x\%}={12.5}(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{20.00}{12.5}

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

\frac{x\%}{100\%}=\frac{12.5}{20.00}

\Rightarrow{x} = {62.5\%}

Therefore, {12.5} is {62.5\%} of {20.00}.

#### Solution for 20.00 is what percent of 12.5:

20.00:12.5*100 =

(20.00*100):12.5 =

2000:12.5 = 160

Now we have: 20.00 is what percent of 12.5 = 160

Question: 20.00 is what percent of 12.5?

Percentage solution with steps:

Step 1: We make the assumption that 12.5 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\%}={12.5}.

Step 4: In the same vein, {x\%}={20.00}.

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

{100\%}={12.5}(1).

{x\%}={20.00}(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{12.5}{20.00}

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

\frac{x\%}{100\%}=\frac{20.00}{12.5}

\Rightarrow{x} = {160\%}

Therefore, {20.00} is {160\%} of {12.5}.

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