# Percentage Calculator

### 48 is what percent of 245?

#### Solution for 48 is what percent of 245:

48:245*100 =

(48*100):245 =

4800:245 = 19.59

**Now we have: 48 is what percent of 245 = 19.59**

**Question: 48 is what percent of 245?**

Percentage solution with steps:

Step 1: We make the assumption that 245 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\%}={245}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={245}(1).

{x\%}={48}(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{245}{48}

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

\frac{x\%}{100\%}=\frac{48}{245}

\Rightarrow{x} = {19.59\%}

Therefore, {48} is {19.59\%} of {245}.

#### Solution for 245 is what percent of 48:

245:48*100 =

(245*100):48 =

24500:48 = 510.42

**Now we have: 245 is what percent of 48 = 510.42**

**Question: 245 is what percent of 48?**

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

Step 4: In the same vein, {x\%}={245}.

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

{100\%}={48}(1).

{x\%}={245}(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{48}{245}

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

\frac{x\%}{100\%}=\frac{245}{48}

\Rightarrow{x} = {510.42\%}

Therefore, {245} is {510.42\%} of {48}.

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