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Sagot :
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]
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]
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