One serving of cereal provides you with 160 mg of sodium. This is 7% of your body's daily needs. How many milligrams of sodium equal 100%?

2,285.71

0.07x = 160

Solve for x.

To determine the number of milligrams of sodium that equal 100% of your body's daily needs, you can use the following steps:

Step 1: Set up a proportion based on the given information.
Let x represent the number of milligrams of sodium that equal 100% of your body's daily needs. The given information states that 160 mg of sodium is 7% of your body's daily needs. Using this information, you can set up the following proportion:

160 mg / x = 7% / 100%

Step 2: Convert the percentage to a decimal.
To convert 7% to a decimal, divide it by 100:

7% / 100% = 0.07

Step 3: Solve the proportion.
Using the proportion from Step 1, solve for x:

160 mg / x = 0.07

To isolate x, multiply both sides of the equation by x:

160 mg = 0.07x

Step 4: Solve for x.
Divide both sides of the equation by 0.07 to solve for x:

160 mg / 0.07 = x

x ≈ 2285.71

Therefore, approximately 2285.71 milligrams of sodium equal 100% of your body's daily needs.

To find out how many milligrams of sodium equal 100% of your body's daily needs, we can set up a proportion.

Let's assume X represents the amount of sodium in milligrams that equals 100% of your daily needs.

We have the following proportion:
7/100 = 160/X

To solve for X, we cross-multiply and then solve for X:
7X = 100 * 160
7X = 16000
X = 16000/7

Performing the calculation, we find that X is approximately 2285.71 milligrams.

Therefore, 100% of your body's daily sodium needs is approximately 2285.71 milligrams.