# Percentage Calculator

### 3.17 is what percent of 45?

#### Solution for 3.17 is what percent of 45:

3.17:45*100 =

(3.17*100):45 =

317:45 = 7.04

**Now we have: 3.17 is what percent of 45 = 7.04**

**Question: 3.17 is what percent of 45?**

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={3.17}.

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

{100\%}={45}(1).

{x\%}={3.17}(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{45}{3.17}

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

\frac{x\%}{100\%}=\frac{3.17}{45}

\Rightarrow{x} = {7.04\%}

Therefore, {3.17} is {7.04\%} of {45}.

#### Solution for 45 is what percent of 3.17:

45:3.17*100 =

(45*100):3.17 =

4500:3.17 = 1419.56

**Now we have: 45 is what percent of 3.17 = 1419.56**

**Question: 45 is what percent of 3.17?**

Percentage solution with steps:

Step 1: We make the assumption that 3.17 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\%}={3.17}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={3.17}(1).

{x\%}={45}(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{3.17}{45}

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

\frac{x\%}{100\%}=\frac{45}{3.17}

\Rightarrow{x} = {1419.56\%}

Therefore, {45} is {1419.56\%} of {3.17}.