#### Solution for 11 is what percent of 510:

11:510*100 =

(11*100):510 =

1100:510 = 2.16

Now we have: 11 is what percent of 510 = 2.16

Question: 11 is what percent of 510?

Percentage solution with steps:

Step 1: We make the assumption that 510 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\%}={510}.

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

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

{100\%}={510}(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{510}{11}

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

\frac{x\%}{100\%}=\frac{11}{510}

\Rightarrow{x} = {2.16\%}

Therefore, {11} is {2.16\%} of {510}.

#### Solution for 510 is what percent of 11:

510:11*100 =

(510*100):11 =

51000:11 = 4636.36

Now we have: 510 is what percent of 11 = 4636.36

Question: 510 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\%}={510}.

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

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

{x\%}={510}(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}{510}

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

\frac{x\%}{100\%}=\frac{510}{11}

\Rightarrow{x} = {4636.36\%}

Therefore, {510} is {4636.36\%} of {11}.

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