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$46$ is $100\%$ of what number?

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Find the total given a part and a percent

Full solution

Q.

46

is

100\%

of what number?

Understand the problem: Step $1$ : Understand the problem. We need to find a number of which $46$ is $100\%$ . This means $46$ is the whole or total of this unknown number.
Set up the equation: Step $2$ : Set up the equation. If $46$ is $100\%$ of a number, then that number multiplied by $100\%$ (or $1$ ) should equal $46$ . Let's call the unknown number $x$ . So, the equation is: $\newline$ $x \times 100\% = 46$
Solve for x: Step $3$ : Solve for x. Since multiplying by $100\%$ (or $1$ ) doesn't change the number, $x = 46$ .

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