# Percentage Calculator

### 150 is what percent of 3500?

#### Solution for 150 is what percent of 3500:

150:3500*100 =

(150*100):3500 =

15000:3500 = 4.29

**Now we have: 150 is what percent of 3500 = 4.29**

**Question: 150 is what percent of 3500?**

Percentage solution with steps:

Step 1: We make the assumption that 3500 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\%}={3500}.

Step 4: In the same vein, {x\%}={150}.

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

{100\%}={3500}(1).

{x\%}={150}(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{3500}{150}

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

\frac{x\%}{100\%}=\frac{150}{3500}

\Rightarrow{x} = {4.29\%}

Therefore, {150} is {4.29\%} of {3500}.

#### Solution for 3500 is what percent of 150:

3500:150*100 =

(3500*100):150 =

350000:150 = 2333.33

**Now we have: 3500 is what percent of 150 = 2333.33**

**Question: 3500 is what percent of 150?**

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

Step 4: In the same vein, {x\%}={3500}.

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

{100\%}={150}(1).

{x\%}={3500}(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{150}{3500}

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

\frac{x\%}{100\%}=\frac{3500}{150}

\Rightarrow{x} = {2333.33\%}

Therefore, {3500} is {2333.33\%} of {150}.