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Solution for .1 is what percent of 40:

.1:40*100 =

(.1*100):40 =

10:40 = 0.25

Now we have: .1 is what percent of 40 = 0.25

Question: .1 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\%}={.1}.

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

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

{x\%}={.1}(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}{.1}

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

\frac{x\%}{100\%}=\frac{.1}{40}

\Rightarrow{x} = {0.25\%}

Therefore, {.1} is {0.25\%} of {40}.

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• .1 is what percent of 40 = 0.25
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• .1 is what percent of 42 = 0.24
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Solution for 40 is what percent of .1:

40:.1*100 =

(40*100):.1 =

4000:.1 = 40000

Now we have: 40 is what percent of .1 = 40000

Question: 40 is what percent of .1?

Percentage solution with steps:

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

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

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

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

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

\frac{x\%}{100\%}=\frac{40}{.1}

\Rightarrow{x} = {40000\%}

Therefore, {40} is {40000\%} of {.1}.