Math / Numbers & Operations

Question $14.5 \%$ of an amount is 812 . What is the original amount?

Studdy Solution

STEP 1

1. We are given that $14.5\%$ of an unknown original amount is $812$ .
2. We need to find the original amount.

STEP 2

1. Define the variable.
2. Set up the equation.
3. Solve the equation for the original amount.

STEP 3

Let $x$ be the original amount.

STEP 4

Express the percentage as a decimal and set up the equation:
$0.145 \times x = 812$

STEP 5

Solve for $x$ by dividing both sides of the equation by $0.145$ :
$x = \frac{812}{0.145}$

STEP 6

Calculate the original amount:
$x = \frac{812}{0.145} \approx 5600$
The original amount is:
$\boxed{5600}$

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Question $14.5 \%$ of an amount is 812 . What is the original amount?

Studdy Solution

STEP 1

1. We are given that $14.5\%$ of an unknown original amount is $812$ .
2. We need to find the original amount.

STEP 2

1. Define the variable.
2. Set up the equation.
3. Solve the equation for the original amount.

STEP 3

Let $x$ be the original amount.

STEP 4

Express the percentage as a decimal and set up the equation:
$0.145 \times x = 812$

STEP 5

Solve for $x$ by dividing both sides of the equation by $0.145$ :
$x = \frac{812}{0.145}$

STEP 6

Calculate the original amount:
$x = \frac{812}{0.145} \approx 5600$
The original amount is:
$\boxed{5600}$

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Question14.5%14.5 \%14.5% of an amount is 812 . What is the original amount?

Studdy Solution

STEP 1

1. We are given that 14.5% 14.5\% 14.5% of an unknown original amount is 812 812 812.2. We need to find the original amount.

STEP 2

1. Define the variable.2. Set up the equation.3. Solve the equation for the original amount.

STEP 3

Let x x x be the original amount.

STEP 4

Express the percentage as a decimal and set up the equation:0.145×x=812 0.145 \times x = 812 0.145×x=812

STEP 5

Solve for x x x by dividing both sides of the equation by 0.145 0.145 0.145:x=8120.145 x = \frac{812}{0.145} x=0.145812​

STEP 6

Calculate the original amount:x=8120.145≈5600 x = \frac{812}{0.145} \approx 5600 x=0.145812​≈5600 The original amount is:5600\boxed{5600}5600​

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Studdy solves anything!

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Question $14.5 \%$ of an amount is 812 . What is the original amount?

1. We are given that $14.5\%$ of an unknown original amount is $812$ .
2. We need to find the original amount.

1. Define the variable.
2. Set up the equation.
3. Solve the equation for the original amount.

Let $x$ be the original amount.

Express the percentage as a decimal and set up the equation:
$0.145 \times x = 812$

Solve for $x$ by dividing both sides of the equation by $0.145$ :
$x = \frac{812}{0.145}$

Calculate the original amount:
$x = \frac{812}{0.145} \approx 5600$
The original amount is:
$\boxed{5600}$