#### Solution for 12.5 is what percent of 600:

12.5:600*100 =

(12.5*100):600 =

1250:600 = 2.0833333333333

Now we have: 12.5 is what percent of 600 = 2.0833333333333

Question: 12.5 is what percent of 600?

Percentage solution with steps:

Step 1: We make the assumption that 600 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\%}={600}.

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

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

{100\%}={600}(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{600}{12.5}

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

\frac{x\%}{100\%}=\frac{12.5}{600}

\Rightarrow{x} = {2.0833333333333\%}

Therefore, {12.5} is {2.0833333333333\%} of {600}.

#### Solution for 600 is what percent of 12.5:

600:12.5*100 =

(600*100):12.5 =

60000:12.5 = 4800

Now we have: 600 is what percent of 12.5 = 4800

Question: 600 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\%}={600}.

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

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

{x\%}={600}(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}{600}

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

\frac{x\%}{100\%}=\frac{600}{12.5}

\Rightarrow{x} = {4800\%}

Therefore, {600} is {4800\%} of {12.5}.

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