#### Solution for .1 is what percent of .005:

.1:.005*100 =

(.1*100):.005 =

10:.005 = 2000

Now we have: .1 is what percent of .005 = 2000

Question: .1 is what percent of .005?

Percentage solution with steps:

Step 1: We make the assumption that .005 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\%}={.005}.

Step 4: In the same vein, {x\%}={.1}.

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

{100\%}={.005}(1).

{x\%}={.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{.005}{.1}

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

\frac{x\%}{100\%}=\frac{.1}{.005}

\Rightarrow{x} = {2000\%}

Therefore, {.1} is {2000\%} of {.005}.

#### Solution for .005 is what percent of .1:

.005:.1*100 =

(.005*100):.1 =

0.5:.1 = 5

Now we have: .005 is what percent of .1 = 5

Question: .005 is what percent of .1?

Percentage solution with steps:

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

Step 4: In the same vein, {x\%}={.005}.

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

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

{x\%}={.005}(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{.1}{.005}

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

\frac{x\%}{100\%}=\frac{.005}{.1}

\Rightarrow{x} = {5\%}

Therefore, {.005} is {5\%} of {.1}.

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