#### Solution for 000.1 is what percent of 0.1:

000.1:0.1*100 =

(000.1*100):0.1 =

10:0.1 = 100

Now we have: 000.1 is what percent of 0.1 = 100

Question: 000.1 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\%}={000.1}.

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

{100\%}={0.1}(1).

{x\%}={000.1}(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{0.1}{000.1}

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

\frac{x\%}{100\%}=\frac{000.1}{0.1}

\Rightarrow{x} = {100\%}

Therefore, {000.1} is {100\%} of {0.1}.

#### Solution for 0.1 is what percent of 000.1:

0.1:000.1*100 =

(0.1*100):000.1 =

10:000.1 = 100

Now we have: 0.1 is what percent of 000.1 = 100

Question: 0.1 is what percent of 000.1?

Percentage solution with steps:

Step 1: We make the assumption that 000.1 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\%}={000.1}.

Step 4: In the same vein, {x\%}={0.1}.

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

{100\%}={000.1}(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{000.1}{0.1}

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

\frac{x\%}{100\%}=\frac{0.1}{000.1}

\Rightarrow{x} = {100\%}

Therefore, {0.1} is {100\%} of {000.1}.

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