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Solution for 11 is what percent of 56:

11:56*100 =

(11*100):56 =

1100:56 = 19.64

Now we have: 11 is what percent of 56 = 19.64

Question: 11 is what percent of 56?

Percentage solution with steps:

Step 1: We make the assumption that 56 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\%}={56}.

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

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

{100\%}={56}(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{56}{11}

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

\frac{x\%}{100\%}=\frac{11}{56}

\Rightarrow{x} = {19.64\%}

Therefore, {11} is {19.64\%} of {56}.

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Solution for 56 is what percent of 11:

56:11*100 =

(56*100):11 =

5600:11 = 509.09

Now we have: 56 is what percent of 11 = 509.09

Question: 56 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\%}={56}.

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

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

{x\%}={56}(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}{56}

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

\frac{x\%}{100\%}=\frac{56}{11}

\Rightarrow{x} = {509.09\%}

Therefore, {56} is {509.09\%} of {11}.