#### Solution for .005 is what percent of .125:

.005:.125*100 =

( .005*100):.125 =

0.5:.125 = 4

Now we have: .005 is what percent of .125 = 4

Question: .005 is what percent of .125?

Percentage solution with steps:

Step 1: We make the assumption that .125 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\%}={.125}.

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

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

{100\%}={.125}(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{.125}{ .005}

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

\frac{x\%}{100\%}=\frac{ .005}{.125}

\Rightarrow{x} = {4\%}

Therefore, { .005} is {4\%} of {.125}.

#### Solution for .125 is what percent of .005:

.125: .005*100 =

(.125*100): .005 =

12.5: .005 = 2500

Now we have: .125 is what percent of .005 = 2500

Question: .125 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\%}={.125}.

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

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

{x\%}={.125}(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}{.125}

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

\frac{x\%}{100\%}=\frac{.125}{ .005}

\Rightarrow{x} = {2500\%}

Therefore, {.125} is {2500\%} of { .005}.

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