# Percentage Calculator

### 83 is what percent of 101?

#### Solution for 83 is what percent of 101:

83:101*100 =

(83*100):101 =

8300:101 = 82.18

**Now we have: 83 is what percent of 101 = 82.18**

**Question: 83 is what percent of 101?**

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

Step 4: In the same vein, {x\%}={83}.

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

{100\%}={101}(1).

{x\%}={83}(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{101}{83}

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

\frac{x\%}{100\%}=\frac{83}{101}

\Rightarrow{x} = {82.18\%}

Therefore, {83} is {82.18\%} of {101}.

#### Solution for 101 is what percent of 83:

101:83*100 =

(101*100):83 =

10100:83 = 121.69

**Now we have: 101 is what percent of 83 = 121.69**

**Question: 101 is what percent of 83?**

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

Step 4: In the same vein, {x\%}={101}.

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

{100\%}={83}(1).

{x\%}={101}(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{83}{101}

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

\frac{x\%}{100\%}=\frac{101}{83}

\Rightarrow{x} = {121.69\%}

Therefore, {101} is {121.69\%} of {83}.

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