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Solution for 5.0 is what percent of 11:

5.0:11*100 =

(5.0*100):11 =

500:11 = 45.454545454545

Now we have: 5.0 is what percent of 11 = 45.454545454545

Question: 5.0 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\%}={5.0}.

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

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

{x\%}={5.0}(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}{5.0}

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

\frac{x\%}{100\%}=\frac{5.0}{11}

\Rightarrow{x} = {45.454545454545\%}

Therefore, {5.0} is {45.454545454545\%} of {11}.

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Solution for 11 is what percent of 5.0:

11:5.0*100 =

(11*100):5.0 =

1100:5.0 = 220

Now we have: 11 is what percent of 5.0 = 220

Question: 11 is what percent of 5.0?

Percentage solution with steps:

Step 1: We make the assumption that 5.0 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\%}={5.0}.

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

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

{100\%}={5.0}(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{5.0}{11}

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

\frac{x\%}{100\%}=\frac{11}{5.0}

\Rightarrow{x} = {220\%}

Therefore, {11} is {220\%} of {5.0}.