40 is what percent of 52?

When you ask "40 is what percent of 52?" you are asking what share per hundred (percent) 40 is of 52 (40 is what % of 52?). To show you how to calculate the answer we start by displaying the percent formula below:

		Whole × Percent
		100

= Part

In the problem "40 is what percent of 52?", 40 is the Part, 52 is the Whole, and Percent is what we are solving. When we enter the Whole and the Part in our formula, we get this:

		52 × Percent
		100

= 40

To solve for Percent, we first multiply both sides by 100 to get rid of the denominator on the left side:

		52 × Percent × 100
		100

= 40 × 100

52 × Percent

= 4000

Next, we divide both sides by 52 to get Percent by itself on the left side:

		52 × Percent
		52

		4000
		52

Percent =

		4000
		52

That's it! Above is the fractional answer to "40 is what percent of 52?". To get the decimal answer, you simply divide the numerator by the denominator. Thus, here is the final answer to "40 is what percent of 52?" in decimal percent form:

4000/52
= 76.9230769230769
≈ 76.9231%

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