# Percentage Calculator

### 10 is what percent of 32?

#### Solution for 10 is what percent of 32:

10: 32*100 =

(10*100): 32 =

1000: 32 = 31.25

**Now we have: 10 is what percent of 32 = 31.25**

**Question: 10 is what percent of 32?**

Percentage solution with steps:

Step 1: We make the assumption that 32 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\%}={ 32}.

Step 4: In the same vein, {x\%}={10}.

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

{100\%}={ 32}(1).

{x\%}={10}(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{ 32}{10}

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

\frac{x\%}{100\%}=\frac{10}{ 32}

\Rightarrow{x} = {31.25\%}

Therefore, {10} is {31.25\%} of { 32}.

#### Solution for 32 is what percent of 10:

32:10*100 =

( 32*100):10 =

3200:10 = 320

**Now we have: 32 is what percent of 10 = 320**

**Question: 32 is what percent of 10?**

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

Step 4: In the same vein, {x\%}={ 32}.

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

{100\%}={10}(1).

{x\%}={ 32}(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{10}{ 32}

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

\frac{x\%}{100\%}=\frac{ 32}{10}

\Rightarrow{x} = {320\%}

Therefore, { 32} is {320\%} of {10}.

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