# Percentage Calculator

### 17.2 is what percent of 23?

#### Solution for 17.2 is what percent of 23:

17.2:23*100 =

(17.2*100):23 =

1720:23 = 74.782608695652

**Now we have: 17.2 is what percent of 23 = 74.782608695652**

**Question: 17.2 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\%}={17.2}.

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

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

{x\%}={17.2}(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}{17.2}

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

\frac{x\%}{100\%}=\frac{17.2}{23}

\Rightarrow{x} = {74.782608695652\%}

Therefore, {17.2} is {74.782608695652\%} of {23}.

#### Solution for 23 is what percent of 17.2:

23:17.2*100 =

(23*100):17.2 =

2300:17.2 = 133.72093023256

**Now we have: 23 is what percent of 17.2 = 133.72093023256**

**Question: 23 is what percent of 17.2?**

Percentage solution with steps:

Step 1: We make the assumption that 17.2 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\%}={17.2}.

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

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

{100\%}={17.2}(1).

{x\%}={23}(2).

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{17.2}{23}

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

\frac{x\%}{100\%}=\frac{23}{17.2}

\Rightarrow{x} = {133.72093023256\%}

Therefore, {23} is {133.72093023256\%} of {17.2}.

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