16 is 35% of what?

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kingattaskus12's profile pic

kingattaskus12 | (Level 3) Adjunct Educator

Posted on

The formula for Basic Percent Equation is represented by

Percent * Base = Amount

`P*B= A`

we are given `P=35% or 0.35`

                  `A=16`

by substituting the values, we have

`0.35*B=16`

`B=16/0.35`

`B=45.71`

In other words, `16` is `35% ` of `45.71`

flbyrne's profile pic

flbyrne | (Level 3) Assistant Educator

Posted on

In order to determine what number is 16 the 35% of assume the number we need to find is x. Then:` `

`(x)(35/100)=16`

`0.35x=16`

Divide both sides by 0.35

`x=16/0.35=45.7`

Therefore the number is 45.7

To verify, multiply 45.7 by 0.35, which is the decimal form of 35%

`(45.7)(0.35)=16`

tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

Posted on

x% of a number y is equal to (x/100)*y.

The number X has to be determined such that 35% of the number is 16.

(35/100)*X = 16

X = 16*(100/35)

X = 320/7

X ~~ 45.7142

35% of 320/7 is equal to 16.

sid-sarfraz's profile pic

sid-sarfraz | Student, Graduate | (Level 2) Salutatorian

Posted on

QUESTION:-

16 is 35% of what?

SOLUTION:-

16 is 35% of what?

Let x be the unknown number;

16 is 35% of x

16 = 35% * x

16 = 35/100 (x)

Multiply with 100 on both sides;

16 . 100 = 35x

1600 = 35x

Divide by 35 on both sides;

1600/35 = 35x/35

45.714 = x

Hence the answer is 45.714

16 is 35% of 45.714

The answer can be rechecked by putting the value of x in the given problem;

16 = 35% of 45.714

16 = 35/100 * 45.714

16 = 0.35 * 45.714

16 = 16

LHS = RHS

Hence Proved!

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

16 is 35% of what?

The above question states that 16 is the answer that we got when we multiplied the unknown variable with 35/100, let the unknown variable be x, we can now write the equation as given below,
 
x * 35/100 = 16
 
x * 0.35 = 16
 
x * 0.35/0.35 = 16/0.35            Divide both sides by 0.35         
 
x = 45.714 Answer.
 
Now check the answer by inserting the value of x in the above equation,
 
x * 35/100 = 16

45.714 * 35/100 = 16

15.99 = 16                                    

16 = 16                                    15.99 rounded off to 16

LHS = RHS

Proved.

 
 
 
 
 
acompanioninthetardis's profile pic

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

Posted on

something, lets say the variable x multiplied by 35% is 16

the equation would now look like this:

.35*x=16

divide 16 by .35

you get approximately 45.7

which is x

so 30% of 45.7 is 16

nisarg's profile pic

nisarg | Student, Grade 11 | (Level 1) Valedictorian

Posted on

`16/x=35/100`

`1600=35x`

`x=45.71`

 so 16 is 35% of 45.71

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