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Solution for .040 is what percent of 11:

.040:11*100 =

(.040*100):11 =

4:11 = 0.36

Now we have: .040 is what percent of 11 = 0.36

Question: .040 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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\%}={11}.

Step 4: In the same vein, {x\%}={.040}.

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

{100\%}={11}(1).

{x\%}={.040}(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{11}{.040}

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

\frac{x\%}{100\%}=\frac{.040}{11}

\Rightarrow{x} = {0.36\%}

Therefore, {.040} is {0.36\%} of {11}.

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Solution for 11 is what percent of .040:

11:.040*100 =

(11*100):.040 =

1100:.040 = 27500

Now we have: 11 is what percent of .040 = 27500

Question: 11 is what percent of .040?

Percentage solution with steps:

Step 1: We make the assumption that .040 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\%}={.040}.

Step 4: In the same vein, {x\%}={11}.

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

{100\%}={.040}(1).

{x\%}={11}(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{.040}{11}

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

\frac{x\%}{100\%}=\frac{11}{.040}

\Rightarrow{x} = {27500\%}

Therefore, {11} is {27500\%} of {.040}.