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Solution for .02 is what percent of 40:

.02:40*100 =

(.02*100):40 =

2:40 = 0.05

Now we have: .02 is what percent of 40 = 0.05

Question: .02 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\%}={.02}.

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

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

{x\%}={.02}(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}{.02}

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

\frac{x\%}{100\%}=\frac{.02}{40}

\Rightarrow{x} = {0.05\%}

Therefore, {.02} is {0.05\%} of {40}.

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Solution for 40 is what percent of .02:

40:.02*100 =

(40*100):.02 =

4000:.02 = 200000

Now we have: 40 is what percent of .02 = 200000

Question: 40 is what percent of .02?

Percentage solution with steps:

Step 1: We make the assumption that .02 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\%}={.02}.

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

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

{100\%}={.02}(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{.02}{40}

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

\frac{x\%}{100\%}=\frac{40}{.02}

\Rightarrow{x} = {200000\%}

Therefore, {40} is {200000\%} of {.02}.