# Percentage Calculator

### 80 is what percent of 112?

#### Solution for 80 is what percent of 112:

80:112*100 =

(80*100):112 =

8000:112 = 71.43

**Now we have: 80 is what percent of 112 = 71.43**

**Question: 80 is what percent of 112?**

Percentage solution with steps:

Step 1: We make the assumption that 112 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\%}={112}.

Step 4: In the same vein, {x\%}={80}.

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

{100\%}={112}(1).

{x\%}={80}(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{112}{80}

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

\frac{x\%}{100\%}=\frac{80}{112}

\Rightarrow{x} = {71.43\%}

Therefore, {80} is {71.43\%} of {112}.

#### Solution for 112 is what percent of 80:

112:80*100 =

(112*100):80 =

11200:80 = 140

**Now we have: 112 is what percent of 80 = 140**

**Question: 112 is what percent of 80?**

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

Step 4: In the same vein, {x\%}={112}.

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

{100\%}={80}(1).

{x\%}={112}(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{80}{112}

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

\frac{x\%}{100\%}=\frac{112}{80}

\Rightarrow{x} = {140\%}

Therefore, {112} is {140\%} of {80}.

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