34 is 85% of what number?

Understand the Problem

The question is asking us to find a number such that when you take 85% of it, the result is 34. This can be approached by setting up the equation 0.85 * X = 34 and solving for X.

Answer

$X = 40$
Answer for screen readers

The value of the number is $X = 40$.

Steps to Solve

  1. Set up the equation

We begin with the equation that represents the problem, which is:

$$ 0.85X = 34 $$

  1. Isolate the variable

To find the value of $X$, we need to isolate it. We can do this by dividing both sides of the equation by 0.85:

$$ X = \frac{34}{0.85} $$

  1. Calculate the value

Now we perform the calculation:

$$ X = \frac{34}{0.85} \approx 40 $$

  1. State the final answer

We have found the value of $X$.

The value of the number is $X = 40$.

More Information

If you take 85% of 40, you will indeed get 34, as $0.85 \times 40 = 34$. This shows how percentages can be converted into equations to find unknowns.

Tips

  • A common mistake is forgetting to divide both sides of the equation by 0.85, which would lead to an incorrect solution. Always remember to isolate the variable properly.

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