#### Solution for 7.25 is what percent of 12.00:

7.25:12.00*100 =

(7.25*100):12.00 =

725:12.00 = 60.416666666667

Now we have: 7.25 is what percent of 12.00 = 60.416666666667

Question: 7.25 is what percent of 12.00?

Percentage solution with steps:

Step 1: We make the assumption that 12.00 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\%}={12.00}.

Step 4: In the same vein, {x\%}={7.25}.

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

{100\%}={12.00}(1).

{x\%}={7.25}(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{12.00}{7.25}

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

\frac{x\%}{100\%}=\frac{7.25}{12.00}

\Rightarrow{x} = {60.416666666667\%}

Therefore, {7.25} is {60.416666666667\%} of {12.00}.

#### Solution for 12.00 is what percent of 7.25:

12.00:7.25*100 =

(12.00*100):7.25 =

1200:7.25 = 165.51724137931

Now we have: 12.00 is what percent of 7.25 = 165.51724137931

Question: 12.00 is what percent of 7.25?

Percentage solution with steps:

Step 1: We make the assumption that 7.25 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\%}={7.25}.

Step 4: In the same vein, {x\%}={12.00}.

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

{100\%}={7.25}(1).

{x\%}={12.00}(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{7.25}{12.00}

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

\frac{x\%}{100\%}=\frac{12.00}{7.25}

\Rightarrow{x} = {165.51724137931\%}

Therefore, {12.00} is {165.51724137931\%} of {7.25}.

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