# Percentage Calculator

### 104 is what percent of 1600?

#### Solution for 104 is what percent of 1600:

104:1600*100 =

(104*100):1600 =

10400:1600 = 6.5

**Now we have: 104 is what percent of 1600 = 6.5**

**Question: 104 is what percent of 1600?**

Percentage solution with steps:

Step 1: We make the assumption that 1600 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\%}={1600}.

Step 4: In the same vein, {x\%}={104}.

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

{100\%}={1600}(1).

{x\%}={104}(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{1600}{104}

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

\frac{x\%}{100\%}=\frac{104}{1600}

\Rightarrow{x} = {6.5\%}

Therefore, {104} is {6.5\%} of {1600}.

#### Solution for 1600 is what percent of 104:

1600:104*100 =

(1600*100):104 =

160000:104 = 1538.46

**Now we have: 1600 is what percent of 104 = 1538.46**

**Question: 1600 is what percent of 104?**

Percentage solution with steps:

Step 1: We make the assumption that 104 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\%}={104}.

Step 4: In the same vein, {x\%}={1600}.

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

{100\%}={104}(1).

{x\%}={1600}(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{104}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{104}

\Rightarrow{x} = {1538.46\%}

Therefore, {1600} is {1538.46\%} of {104}.

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