Math / Numbers & Operations

QuestionTranslate to an equation. Do not solve. Use a for the unknown quantity. 86 is what percent of $98 ?$
The equation is $\square$

Studdy Solution

STEP 1

What is this asking? We need to figure out what percentage 86 is of 98, and write it as an equation without solving it. Watch out! Don't mix up the part (86) and the whole (98)!
Also, remember to express the percentage as a decimal or fraction in the equation.

STEP 2

1. Set up the percentage equation
2. Represent the unknown percentage

STEP 3

Alright, let's break this down!
We know that "percent" means "out of 100".
So, when we're talking about a percentage of something, we're talking about a fraction of that thing where the denominator is 100.

STEP 4

We can write this generally as: $\text{Part} = \frac{\text{Percentage}}{100} \cdot \text{Whole}$ This formula says that the part is equal to the percentage divided by 100, multiplied by the whole.
It's like taking a slice of a pie – the whole is the entire pie, the percentage is how much of the pie we're taking, and the part is the actual slice we get!

STEP 5

In our problem, the whole is $\$98$ , and the part is $86$ .
We don't know the percentage yet, so let's call it $a$ .

STEP 6

Now, let's plug in our values into the percentage equation: $86 = \frac{a}{100} \cdot 98$ See how we replaced "Part" with 86, "Percentage" with $a$ , and "Whole" with 98?

STEP 7

This equation perfectly represents the problem: "86 is what percent of 98?" We've translated the words into math!

STEP 8

Our final equation is: $86 = \frac{a}{100} \cdot 98$

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QuestionTranslate to an equation. Do not solve. Use a for the unknown quantity. 86 is what percent of $98 ?$
The equation is $\square$

Studdy Solution

STEP 1

What is this asking? We need to figure out what percentage 86 is of 98, and write it as an equation without solving it. Watch out! Don't mix up the part (86) and the whole (98)!
Also, remember to express the percentage as a decimal or fraction in the equation.

STEP 2

1. Set up the percentage equation
2. Represent the unknown percentage

STEP 3

Alright, let's break this down!
We know that "percent" means "out of 100".
So, when we're talking about a percentage of something, we're talking about a fraction of that thing where the denominator is 100.

STEP 4

STEP 5

In our problem, the whole is $\$98$ , and the part is $86$ .
We don't know the percentage yet, so let's call it $a$ .

STEP 6

Now, let's plug in our values into the percentage equation: $86 = \frac{a}{100} \cdot 98$ See how we replaced "Part" with 86, "Percentage" with $a$ , and "Whole" with 98?

STEP 7

This equation perfectly represents the problem: "86 is what percent of 98?" We've translated the words into math!

STEP 8

Our final equation is: $86 = \frac{a}{100} \cdot 98$

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QuestionTranslate to an equation. Do not solve. Use a for the unknown quantity. 86 is what percent of 98?98 ?98?The equation is □\square□

Studdy Solution

STEP 1

What is this asking? We need to figure out what percentage 86 is of 98, and write it as an equation without solving it. Watch out! Don't mix up the part (86) and the whole (98)!Also, remember to express the percentage as a decimal or fraction in the equation.

STEP 2

1. Set up the percentage equation2. Represent the unknown percentage

STEP 3

Alright, let's **break this down**!We know that "percent" means "out of 100".So, when we're talking about a percentage of something, we're talking about a *fraction* of that thing where the denominator is 100.

STEP 4

STEP 5

In our problem, the **whole** is $98\$98$98, and the **part** is 868686.We don't know the percentage yet, so let's call it aaa.

STEP 6

Now, let's **plug in** our **values** into the percentage equation: 86=a100⋅98 86 = \frac{a}{100} \cdot 98 86=100a​⋅98 See how we replaced "Part" with 86, "Percentage" with aaa, and "Whole" with 98?

STEP 7

This equation perfectly represents the problem: "86 is what percent of 98?" We've translated the words into math!

STEP 8

Our final equation is: 86=a100⋅98 86 = \frac{a}{100} \cdot 98 86=100a​⋅98

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionTranslate to an equation. Do not solve. Use a for the unknown quantity. 86 is what percent of $98 ?$
The equation is $\square$

What is this asking? We need to figure out what percentage 86 is of 98, and write it as an equation without solving it. Watch out! Don't mix up the part (86) and the whole (98)!
Also, remember to express the percentage as a decimal or fraction in the equation.

1. Set up the percentage equation
2. Represent the unknown percentage

Alright, let's break this down!
We know that "percent" means "out of 100".
So, when we're talking about a percentage of something, we're talking about a fraction of that thing where the denominator is 100.

In our problem, the whole is $\$98$ , and the part is $86$ .
We don't know the percentage yet, so let's call it $a$ .

Now, let's plug in our values into the percentage equation: $86 = \frac{a}{100} \cdot 98$ See how we replaced "Part" with 86, "Percentage" with $a$ , and "Whole" with 98?

Our final equation is: $86 = \frac{a}{100} \cdot 98$