Question

If 62.5% of a number is 312.5. Find the number.

please answer my question step by step.​

Answer 1

$\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$

1. We assume, that the number 312.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 312.5 is 100%, so we can write it down as 312.5=100%.

4. We know, that x is 62.5% of the output value, so we can write it down as x=62.5%.

5. Now we have two simple equations:

1) 312.5=100%

2) x=62.5%

$\tt\implies$where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

312.5/x=100%/62.5%

6.Now we just have to solve the simple equation, and we will get the solution we are looking for.

7.Solution for what is 62.5% of 312.5

$\tt\implies$312.5/x=100/62.5

$\tt\implies$(312.5/x)*x=(100/62.5)*x       - we multiply both sides of the equation by x

$\tt\implies$312.5=1.6*x       - we divide both sides of the equation by (1.6) to get x

$\tt\implies$312.5/1.6=x

$\tt\implies$195.3125=x

$\tt\implies$x=195.3125

Now we have;

$\therefore$62.5% of 312.5=195.3125

Answer 2

$\boxed{ \huge{ \fcolorbox{red}{black}{ \pink{QUES/ANS}}} }$

We assume, that the number 312.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 312.5 is 100%, so we can write it down as 312.5=100%.

4. We know, that x is 62.5% of the output value, so we can write it down as x=62.5%.

5. Now we have two simple equations:

1) 312.5=100%

2) x=62.5%

\tt\implies⟹ where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

312.5/x=100%/62.5%

6.Now we just have to solve the simple equation, and we will get the solution we are looking for.

7.Solution for what is 62.5% of 312.5

⟹ 312.5/x=100/62.5

⟹ (312.5/x)*x=(100/62.5)*x - we multiply both sides of the equation by x

⟹ 312.5=1.6*x - we divide both sides of the equation by (1.6) to get x

⟹ 312.5/1.6=x

⟹ 195.3125=x

⟹ x=195.3125

Now we have;

therefore∴ 62.5% of 312.5=195.3125

$\huge\underline\mathfrak{\pink{Thank You :- }}$