# Percentage Calculator

### 20 is what percent of 23?

#### Solution for 20 is what percent of 23:

20: 23*100 =

( 20*100): 23 =

2000: 23 = 86.96

**Now we have: 20 is what percent of 23 = 86.96**

**Question: 20 is what percent of 23?**

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={ 23}.

Step 4: In the same vein, {x\%}={ 20}.

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

{100\%}={ 23}(1).

{x\%}={ 20}(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{ 23}{ 20}

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

\frac{x\%}{100\%}=\frac{ 20}{ 23}

\Rightarrow{x} = {86.96\%}

Therefore, { 20} is {86.96\%} of { 23}.

#### Solution for 23 is what percent of 20:

23: 20*100 =

( 23*100): 20 =

2300: 20 = 115

**Now we have: 23 is what percent of 20 = 115**

**Question: 23 is what percent of 20?**

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={ 20}.

Step 4: In the same vein, {x\%}={ 23}.

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

{100\%}={ 20}(1).

{x\%}={ 23}(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{ 20}{ 23}

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

\frac{x\%}{100\%}=\frac{ 23}{ 20}

\Rightarrow{x} = {115\%}

Therefore, { 23} is {115\%} of { 20}.

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