What is the number, if 30 percent of the number is 120?

To find the number when 30 percent of it equals 120, we can set up a simple equation. Let's break it down step by step.

Setting Up the Equation

We know that 30 percent can be expressed as a fraction: 30 percent is the same as 30/100, which simplifies to 0.3. So, we can write the equation as:

0.3 × X = 120

Solving for X

To find the value of X (the number we are looking for), we need to isolate X in the equation. We can do this by dividing both sides of the equation by 0.3:

X = 120 / 0.3

Calculating the Division

Now, let's perform the division:

• 120 divided by 0.3 is the same as multiplying 120 by the reciprocal of 0.3, which is 10/3.
• So, we can rewrite it as: X = 120 × (10/3).
• This simplifies to: X = 1200 / 3.
• Finally, dividing 1200 by 3 gives us: X = 400.

Final Result

Therefore, the number we were looking for is 400. To verify, you can check that 30 percent of 400 is indeed 120, confirming our solution is correct.