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Solution for 55 is what percent of 11:

55:11*100 =

(55*100):11 =

5500:11 = 500

Now we have: 55 is what percent of 11 = 500

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} = {500\%}

Therefore, {55} is {500\%} of {11}.

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Solution for 11 is what percent of 55:

11:55*100 =

(11*100):55 =

1100:55 = 20

Now we have: 11 is what percent of 55 = 20

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} = {20\%}

Therefore, {11} is {20\%} of {55}.