What number does 70 represent when it is 35% of that number?

To find the number that 70 represents as 35% of that number, you can set up an equation. Let’s denote the unknown number as ( x ). According to the problem statement, 70 is 35% of ( x ), which can be expressed mathematically as:

[

0.35x = 70

]

To solve for ( x ), you can divide both sides of the equation by 0.35:

[

x = \frac{70}{0.35}

]

Calculating this gives:

[

x = 200

]

Thus, when you calculate ( 70 \div 0.35 ) (which is equivalent to multiplying 70 by the reciprocal of 0.35), you find that the number that 70 represents when it is 35% of that number is 200. This shows that 200 is indeed the answer, as it aligns with the mathematical operation defining the relationship between percentage and the whole number.

This exercise illustrates the concept of percentages and how they are used to determine whole values based on given parts. In this case, recognizing that 70 is a part of the whole number ( x ) through the percentage provided is