# Percentage Calculator

### 11 is what percent of 16?

#### Solution for 11 is what percent of 16:

11:16*100 =

(11*100):16 =

1100:16 = 68.75

**Now we have: 11 is what percent of 16 = 68.75**

**Question: 11 is what percent of 16?**

Percentage solution with steps:

Step 1: We make the assumption that 16 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\%}={16}.

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

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

{100\%}={16}(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{16}{11}

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

\frac{x\%}{100\%}=\frac{11}{16}

\Rightarrow{x} = {68.75\%}

Therefore, {11} is {68.75\%} of {16}.

#### Solution for 16 is what percent of 11:

16:11*100 =

(16*100):11 =

1600:11 = 145.45

**Now we have: 16 is what percent of 11 = 145.45**

**Question: 16 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\%}={16}.

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

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

{x\%}={16}(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}{16}

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

\frac{x\%}{100\%}=\frac{16}{11}

\Rightarrow{x} = {145.45\%}

Therefore, {16} is {145.45\%} of {11}.

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