# Percentage Calculator

### 160 is what percent of 795?

#### Solution for 160 is what percent of 795:

160:795*100 =

(160*100):795 =

16000:795 = 20.13

**Now we have: 160 is what percent of 795 = 20.13**

**Question: 160 is what percent of 795?**

Percentage solution with steps:

Step 1: We make the assumption that 795 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\%}={795}.

Step 4: In the same vein, {x\%}={160}.

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

{100\%}={795}(1).

{x\%}={160}(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{795}{160}

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

\frac{x\%}{100\%}=\frac{160}{795}

\Rightarrow{x} = {20.13\%}

Therefore, {160} is {20.13\%} of {795}.

#### Solution for 795 is what percent of 160:

795:160*100 =

(795*100):160 =

79500:160 = 496.88

**Now we have: 795 is what percent of 160 = 496.88**

**Question: 795 is what percent of 160?**

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

Step 4: In the same vein, {x\%}={795}.

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

{100\%}={160}(1).

{x\%}={795}(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{160}{795}

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

\frac{x\%}{100\%}=\frac{795}{160}

\Rightarrow{x} = {496.88\%}

Therefore, {795} is {496.88\%} of {160}.

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