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Solution for 0.002 is what percent of 0.42:

0.002:0.42*100 =

(0.002*100):0.42 =

0.2:0.42 = 0.47619047619048

Now we have: 0.002 is what percent of 0.42 = 0.47619047619048

Question: 0.002 is what percent of 0.42?

Percentage solution with steps:

Step 1: We make the assumption that 0.42 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\%}={0.42}.

Step 4: In the same vein, {x\%}={0.002}.

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

{100\%}={0.42}(1).

{x\%}={0.002}(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{0.42}{0.002}

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

\frac{x\%}{100\%}=\frac{0.002}{0.42}

\Rightarrow{x} = {0.47619047619048\%}

Therefore, {0.002} is {0.47619047619048\%} of {0.42}.

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Solution for 0.42 is what percent of 0.002:

0.42:0.002*100 =

(0.42*100):0.002 =

42:0.002 = 21000

Now we have: 0.42 is what percent of 0.002 = 21000

Question: 0.42 is what percent of 0.002?

Percentage solution with steps:

Step 1: We make the assumption that 0.002 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\%}={0.002}.

Step 4: In the same vein, {x\%}={0.42}.

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

{100\%}={0.002}(1).

{x\%}={0.42}(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{0.002}{0.42}

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

\frac{x\%}{100\%}=\frac{0.42}{0.002}

\Rightarrow{x} = {21000\%}

Therefore, {0.42} is {21000\%} of {0.002}.