#### Solution for 12 is what percent of 10.00:

12:10.00*100 =

(12*100):10.00 =

1200:10.00 = 120

Now we have: 12 is what percent of 10.00 = 120

Question: 12 is what percent of 10.00?

Percentage solution with steps:

Step 1: We make the assumption that 10.00 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\%}={10.00}.

Step 4: In the same vein, {x\%}={12}.

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

{100\%}={10.00}(1).

{x\%}={12}(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{10.00}{12}

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

\frac{x\%}{100\%}=\frac{12}{10.00}

\Rightarrow{x} = {120\%}

Therefore, {12} is {120\%} of {10.00}.

#### Solution for 10.00 is what percent of 12:

10.00:12*100 =

(10.00*100):12 =

1000:12 = 83.333333333333

Now we have: 10.00 is what percent of 12 = 83.333333333333

Question: 10.00 is what percent of 12?

Percentage solution with steps:

Step 1: We make the assumption that 12 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}.

Step 4: In the same vein, {x\%}={10.00}.

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

{100\%}={12}(1).

{x\%}={10.00}(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}{10.00}

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

\frac{x\%}{100\%}=\frac{10.00}{12}

\Rightarrow{x} = {83.333333333333\%}

Therefore, {10.00} is {83.333333333333\%} of {12}.

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