# Percentage Calculator

### 4 is what percent of 4.75?

#### Solution for 4 is what percent of 4.75:

4: 4.75*100 =

(4*100): 4.75 =

400: 4.75 = 84.210526315789

**Now we have: 4 is what percent of 4.75 = 84.210526315789**

**Question: 4 is what percent of 4.75?**

Percentage solution with steps:

Step 1: We make the assumption that 4.75 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\%}={ 4.75}.

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

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

{100\%}={ 4.75}(1).

{x\%}={4}(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{ 4.75}{4}

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

\frac{x\%}{100\%}=\frac{4}{ 4.75}

\Rightarrow{x} = {84.210526315789\%}

Therefore, {4} is {84.210526315789\%} of { 4.75}.

#### Solution for 4.75 is what percent of 4:

4.75:4*100 =

( 4.75*100):4 =

475:4 = 118.75

**Now we have: 4.75 is what percent of 4 = 118.75**

**Question: 4.75 is what percent of 4?**

Percentage solution with steps:

Step 1: We make the assumption that 4 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\%}={4}.

Step 4: In the same vein, {x\%}={ 4.75}.

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

{100\%}={4}(1).

{x\%}={ 4.75}(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{4}{ 4.75}

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

\frac{x\%}{100\%}=\frac{ 4.75}{4}

\Rightarrow{x} = {118.75\%}

Therefore, { 4.75} is {118.75\%} of {4}.