#### Solution for 100 is what percent of 1200:

100:1200*100 =

(100*100):1200 =

10000:1200 = 8.33

Now we have: 100 is what percent of 1200 = 8.33

Question: 100 is what percent of 1200?

Percentage solution with steps:

Step 1: We make the assumption that 1200 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\%}={1200}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={1200}(1).

{x\%}={100}(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{1200}{100}

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

\frac{x\%}{100\%}=\frac{100}{1200}

\Rightarrow{x} = {8.33\%}

Therefore, {100} is {8.33\%} of {1200}.

#### Solution for 1200 is what percent of 100:

1200:100*100 =

(1200*100):100 =

120000:100 = 1200

Now we have: 1200 is what percent of 100 = 1200

Question: 1200 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={1200}.

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

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

{x\%}={1200}(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{100}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{100}

\Rightarrow{x} = {1200\%}

Therefore, {1200} is {1200\%} of {100}.

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