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Solution for .11 is what percent of 37:

.11:37*100 =

(.11*100):37 =

11:37 = 0.3

Now we have: .11 is what percent of 37 = 0.3

Question: .11 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

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

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

{100\%}={37}(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{37}{.11}

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

\frac{x\%}{100\%}=\frac{.11}{37}

\Rightarrow{x} = {0.3\%}

Therefore, {.11} is {0.3\%} of {37}.

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• .11 is what percent of 100 = 0.11

Solution for 37 is what percent of .11:

37:.11*100 =

(37*100):.11 =

3700:.11 = 33636.36

Now we have: 37 is what percent of .11 = 33636.36

Question: 37 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\%}={37}.

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

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

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{.11}

\Rightarrow{x} = {33636.36\%}

Therefore, {37} is {33636.36\%} of {.11}.