# Percentage Calculator

### 448 is what percent of 3800?

#### Solution for 448 is what percent of 3800:

448:3800*100 =

(448*100):3800 =

44800:3800 = 11.79

**Now we have: 448 is what percent of 3800 = 11.79**

**Question: 448 is what percent of 3800?**

Percentage solution with steps:

Step 1: We make the assumption that 3800 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\%}={3800}.

Step 4: In the same vein, {x\%}={448}.

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

{100\%}={3800}(1).

{x\%}={448}(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{3800}{448}

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

\frac{x\%}{100\%}=\frac{448}{3800}

\Rightarrow{x} = {11.79\%}

Therefore, {448} is {11.79\%} of {3800}.

#### Solution for 3800 is what percent of 448:

3800:448*100 =

(3800*100):448 =

380000:448 = 848.21

**Now we have: 3800 is what percent of 448 = 848.21**

**Question: 3800 is what percent of 448?**

Percentage solution with steps:

Step 1: We make the assumption that 448 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\%}={448}.

Step 4: In the same vein, {x\%}={3800}.

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

{100\%}={448}(1).

{x\%}={3800}(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{448}{3800}

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

\frac{x\%}{100\%}=\frac{3800}{448}

\Rightarrow{x} = {848.21\%}

Therefore, {3800} is {848.21\%} of {448}.

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