# Percentage Calculator

### 39.96 is what percent of 45?

#### Solution for 39.96 is what percent of 45:

39.96:45*100 =

( 39.96*100):45 =

3996:45 = 88.8

**Now we have: 39.96 is what percent of 45 = 88.8**

**Question: 39.96 is what percent of 45?**

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={ 39.96}.

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

{100\%}={45}(1).

{x\%}={ 39.96}(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{45}{ 39.96}

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

\frac{x\%}{100\%}=\frac{ 39.96}{45}

\Rightarrow{x} = {88.8\%}

Therefore, { 39.96} is {88.8\%} of {45}.

#### Solution for 45 is what percent of 39.96:

45: 39.96*100 =

(45*100): 39.96 =

4500: 39.96 = 112.61261261261

**Now we have: 45 is what percent of 39.96 = 112.61261261261**

**Question: 45 is what percent of 39.96?**

Percentage solution with steps:

Step 1: We make the assumption that 39.96 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\%}={ 39.96}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={ 39.96}(1).

{x\%}={45}(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{ 39.96}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 39.96}

\Rightarrow{x} = {112.61261261261\%}

Therefore, {45} is {112.61261261261\%} of { 39.96}.

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