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Solution for 0.009 is what percent of 40:

0.009:40*100 =

(0.009*100):40 =

0.9:40 = 0.0225

Now we have: 0.009 is what percent of 40 = 0.0225

Question: 0.009 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={0.009}.

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

{100\%}={40}(1).

{x\%}={0.009}(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{40}{0.009}

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

\frac{x\%}{100\%}=\frac{0.009}{40}

\Rightarrow{x} = {0.0225\%}

Therefore, {0.009} is {0.0225\%} of {40}.

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Solution for 40 is what percent of 0.009:

40:0.009*100 =

(40*100):0.009 =

4000:0.009 = 444444.44444444

Now we have: 40 is what percent of 0.009 = 444444.44444444

Question: 40 is what percent of 0.009?

Percentage solution with steps:

Step 1: We make the assumption that 0.009 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\%}={0.009}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={0.009}(1).

{x\%}={40}(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{0.009}{40}

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

\frac{x\%}{100\%}=\frac{40}{0.009}

\Rightarrow{x} = {444444.44444444\%}

Therefore, {40} is {444444.44444444\%} of {0.009}.