# Percentage Calculator

### 1 is what percent of 160?

#### Solution for 1 is what percent of 160:

1:160*100 =

(1*100):160 =

100:160 = 0.63

**Now we have: 1 is what percent of 160 = 0.63**

**Question: 1 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\%}={1}.

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

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

{x\%}={1}(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}{1}

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

\frac{x\%}{100\%}=\frac{1}{160}

\Rightarrow{x} = {0.63\%}

Therefore, {1} is {0.63\%} of {160}.

#### Solution for 160 is what percent of 1:

160:1*100 =

(160*100):1 =

16000:1 = 16000

**Now we have: 160 is what percent of 1 = 16000**

**Question: 160 is what percent of 1?**

Percentage solution with steps:

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

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

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

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

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

\frac{x\%}{100\%}=\frac{160}{1}

\Rightarrow{x} = {16000\%}

Therefore, {160} is {16000\%} of {1}.

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