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Solution for 0.1 is what percent of 1200:

0.1:1200*100 =

( 0.1*100):1200 =

10:1200 = 0.0083333333333333

Now we have: 0.1 is what percent of 1200 = 0.0083333333333333

Question: 0.1 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\%}={ 0.1}.

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

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

{x\%}={ 0.1}(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}{ 0.1}

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

\frac{x\%}{100\%}=\frac{ 0.1}{1200}

\Rightarrow{x} = {0.0083333333333333\%}

Therefore, { 0.1} is {0.0083333333333333\%} of {1200}.

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Solution for 1200 is what percent of 0.1:

1200: 0.1*100 =

(1200*100): 0.1 =

120000: 0.1 = 1200000

Now we have: 1200 is what percent of 0.1 = 1200000

Question: 1200 is what percent of 0.1?

Percentage solution with steps:

Step 1: We make the assumption that 0.1 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\%}={ 0.1}.

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

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

{100\%}={ 0.1}(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{ 0.1}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{ 0.1}

\Rightarrow{x} = {1200000\%}

Therefore, {1200} is {1200000\%} of { 0.1}.