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Solution for 0.200 is what percent of 40:

0.200:40*100 =

(0.200*100):40 =

20:40 = 0.5

Now we have: 0.200 is what percent of 40 = 0.5

Question: 0.200 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\%}={0.200}.

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

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

{x\%}={0.200}(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}{0.200}

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

\frac{x\%}{100\%}=\frac{0.200}{40}

\Rightarrow{x} = {0.5\%}

Therefore, {0.200} is {0.5\%} of {40}.

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Solution for 40 is what percent of 0.200:

40:0.200*100 =

(40*100):0.200 =

4000:0.200 = 20000

Now we have: 40 is what percent of 0.200 = 20000

Question: 40 is what percent of 0.200?

Percentage solution with steps:

Step 1: We make the assumption that 0.200 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\%}={0.200}.

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

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

{100\%}={0.200}(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{0.200}{40}

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

\frac{x\%}{100\%}=\frac{40}{0.200}

\Rightarrow{x} = {20000\%}

Therefore, {40} is {20000\%} of {0.200}.