# Percentage Calculator

### 48 is what percent of 802?

#### Solution for 48 is what percent of 802:

48:802*100 =

(48*100):802 =

4800:802 = 5.99

**Now we have: 48 is what percent of 802 = 5.99**

**Question: 48 is what percent of 802?**

Percentage solution with steps:

Step 1: We make the assumption that 802 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\%}={802}.

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

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

{100\%}={802}(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{802}{48}

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

\frac{x\%}{100\%}=\frac{48}{802}

\Rightarrow{x} = {5.99\%}

Therefore, {48} is {5.99\%} of {802}.

#### Solution for 802 is what percent of 48:

802:48*100 =

(802*100):48 =

80200:48 = 1670.83

**Now we have: 802 is what percent of 48 = 1670.83**

**Question: 802 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\%}={802}.

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

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

{x\%}={802}(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}{802}

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

\frac{x\%}{100\%}=\frac{802}{48}

\Rightarrow{x} = {1670.83\%}

Therefore, {802} is {1670.83\%} of {48}.

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