# Percentage Calculator

### 155 is what percent of 217?

#### Solution for 155 is what percent of 217:

155: 217*100 =

(155*100): 217 =

15500: 217 = 71.43

**Now we have: 155 is what percent of 217 = 71.43**

**Question: 155 is what percent of 217?**

Percentage solution with steps:

Step 1: We make the assumption that 217 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\%}={ 217}.

Step 4: In the same vein, {x\%}={155}.

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

{100\%}={ 217}(1).

{x\%}={155}(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{ 217}{155}

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

\frac{x\%}{100\%}=\frac{155}{ 217}

\Rightarrow{x} = {71.43\%}

Therefore, {155} is {71.43\%} of { 217}.

#### Solution for 217 is what percent of 155:

217:155*100 =

( 217*100):155 =

21700:155 = 140

**Now we have: 217 is what percent of 155 = 140**

**Question: 217 is what percent of 155?**

Percentage solution with steps:

Step 1: We make the assumption that 155 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\%}={155}.

Step 4: In the same vein, {x\%}={ 217}.

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

{100\%}={155}(1).

{x\%}={ 217}(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{155}{ 217}

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

\frac{x\%}{100\%}=\frac{ 217}{155}

\Rightarrow{x} = {140\%}

Therefore, { 217} is {140\%} of {155}.

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