# Percentage Calculator

### 49 is what percent of 170?

#### Solution for 49 is what percent of 170:

49:170*100 =

(49*100):170 =

4900:170 = 28.82

**Now we have: 49 is what percent of 170 = 28.82**

**Question: 49 is what percent of 170?**

Percentage solution with steps:

Step 1: We make the assumption that 170 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\%}={170}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={170}(1).

{x\%}={49}(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{170}{49}

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

\frac{x\%}{100\%}=\frac{49}{170}

\Rightarrow{x} = {28.82\%}

Therefore, {49} is {28.82\%} of {170}.

#### Solution for 170 is what percent of 49:

170:49*100 =

(170*100):49 =

17000:49 = 346.94

**Now we have: 170 is what percent of 49 = 346.94**

**Question: 170 is what percent of 49?**

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={170}.

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

{100\%}={49}(1).

{x\%}={170}(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{49}{170}

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

\frac{x\%}{100\%}=\frac{170}{49}

\Rightarrow{x} = {346.94\%}

Therefore, {170} is {346.94\%} of {49}.

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