# Percentage Calculator

### 161 is what percent of 318?

#### Solution for 161 is what percent of 318:

161:318*100 =

(161*100):318 =

16100:318 = 50.63

**Now we have: 161 is what percent of 318 = 50.63**

**Question: 161 is what percent of 318?**

Percentage solution with steps:

Step 1: We make the assumption that 318 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\%}={318}.

Step 4: In the same vein, {x\%}={161}.

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

{100\%}={318}(1).

{x\%}={161}(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{318}{161}

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

\frac{x\%}{100\%}=\frac{161}{318}

\Rightarrow{x} = {50.63\%}

Therefore, {161} is {50.63\%} of {318}.

#### Solution for 318 is what percent of 161:

318:161*100 =

(318*100):161 =

31800:161 = 197.52

**Now we have: 318 is what percent of 161 = 197.52**

**Question: 318 is what percent of 161?**

Percentage solution with steps:

Step 1: We make the assumption that 161 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\%}={161}.

Step 4: In the same vein, {x\%}={318}.

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

{100\%}={161}(1).

{x\%}={318}(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{161}{318}

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

\frac{x\%}{100\%}=\frac{318}{161}

\Rightarrow{x} = {197.52\%}

Therefore, {318} is {197.52\%} of {161}.

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