To find the number when a percentage of the number is known, we can follow these steps:
1. Understand the Problem: We know that 94% of some number is 564. We need to find what that original number is.
2. Set Up the Equation: Let's represent the unknown number by [tex]\( x \)[/tex]. The problem states that 94% of [tex]\( x \)[/tex] equals 564. In mathematical terms, this can be written as:
[tex]\[
0.94 \times x = 564
\][/tex]
3. Isolate the Variable: To find the value of [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.94:
[tex]\[
x = \frac{564}{0.94}
\][/tex]
4. Perform the Division: Now, we will divide 564 by 0.94 to find the value of [tex]\( x \)[/tex]:
[tex]\[
x = 600.0
\][/tex]
5. Interpret the Result: The original number, before taking 94% of it, is 600.0.
Therefore, the number which 94% of it is 564 is:
[tex]\[
\boxed{600.0}
\][/tex]
