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Solution for .11 is what percent of 55:

.11:55*100 =

(.11*100):55 =

11:55 = 0.2

Now we have: .11 is what percent of 55 = 0.2

Question: .11 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{.11}

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

\frac{x\%}{100\%}=\frac{.11}{55}

\Rightarrow{x} = {0.2\%}

Therefore, {.11} is {0.2\%} of {55}.

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• .11 is what percent of 100 = 0.11

Solution for 55 is what percent of .11:

55:.11*100 =

(55*100):.11 =

5500:.11 = 50000

Now we have: 55 is what percent of .11 = 50000

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{.11}

\Rightarrow{x} = {50000\%}

Therefore, {55} is {50000\%} of {.11}.