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- Percentage Calculator

This online calculator solves the four basic types of percent problems and percentage increase/decrease problem.
The calculator will generate a **step-by-step explanation** for each type of percentage problem.

examples

example 1:

Calculate 45% of 120.

example 2:

The number 18 is what percentage of 90?

example 3:

The number 150 is 75% of what number?

example 4:

What is the percentage increase from to 50 to 75?

This calculator solves four types of percentage problems.

**Type 1:**
*What is 15% of 20?*

This can be solved in two stps:

**Step 1:** Write 15% as a decimal number: **15% = 0.15**

**Step 2:** Multiply 0.15 and 20 to get the answer: **0.15 * 20 = 3**

**Type 2:**
*The number 25 is what percentage of 80?*

This can be solved in two stps:

**Step 1:** Solve the equation: **80 * x = 25**. The solution is **x = 0.3125**

**Step 2:** Multiply 0.3125 by 100% to get the answer: **0.3125 * 100% = 31.25 %**

**Type 3:**
*The number 32 is 8% of what number?*

As usual, this problem requires to steps:

**Step 1:** Write 8% as a decimal number: **8% = 0.08**

**Step 2:** Divide 32 and 0.08: **32 ÷ 0.08 = 400**

**Type 4: percentage increase:**
*What is the percentage increase from 20 to 90?*

In this type of problem we use formula

$$ \text{Percentage increase} = \frac{\text{new amount} - \text{original amount}}{\text{original amount}} \cdot 100 \% $$Using our numbers we have:

$$ \text{Percentage increase} = \frac{90 - 20}{20} \cdot 100 \% = \frac{70}{20} \cdot 100 \% = 350 \% $$**Type 4: percentage decrease:**
*What is the percentage decrease from 160 to 40?*

Now we will use formula

$$ \text{Percentage decrease} = \frac{\text{original amount} - \text{new amount}}{\text{original amount}} \cdot 100 \% $$Using our numbers we have:

$$ \text{Percentage decrease} = \frac{160 - 40}{160} \cdot 100 \% = \frac{120}{160} \cdot 100 \% = 75 \% $$**Quick Calculator Search**

** Please tell me how can I make this better.**

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