121.8 is ?% of 105

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readerofbooks's profile pic

readerofbooks | College Teacher | (Level 2) Educator Emeritus

Posted on

This is a great question and it is a matter of algebra. So, what you need to do is set up the problem correctly at first. Once this step is done, it is very simple. The above answer is correct, but the set up a bit confusing.

What you are trying to determine is what percentage of 121.8 is 105. Just by looking at it this way, you will know that the number will be greater than 100%, because 121.8 is greater than 105. This type of estimating can be valuable, so that you will be around the correct ballpark.

Now it is time to set up the problem. 105 x (what %) / 100 = 105 / 1. After multiplying each side by 100, you have 105 (what %) = 12180. After this, you divide each side by 105, then you have:

(what %) = 12180 /105. When we do this division, we come up with 116.

 

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najm1947 | Elementary School Teacher | (Level 1) Valedictorian

Posted on

121.8 is ?% of 105.

We have to determine the percentage of 105 which is equal to 121.8.

Let x be that percentage

105*x/100 = 121.8, muliply both side with 100/105

x = 121.8*100/105 = 116%

121.8 is 116% of 105

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jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

121.8 is  what % of 105

To solve this use the equation,  x/100 = 121.8/105

Multiply " x " with 105 and 121.8 with 100. By multiplying , you should get

105x = 12180 now divide both sides by 105

By dividing both sides by 105 , you should get

x = 116 which is your answer for " x "

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

Posted on

121.8 is  what % of 105 ?

`x/100=121.8/105`

`105x=12180`

`x=116`

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

121.8 is  what % of 105 ?

"of" signifies multiplication and so you end up with this statement: 

`(x)/(100) xx 105 = 121.8`

Just solve for x: 

`x = (121.8)/(105)xx100`

`x = 116 `

And that x value is the percentage because we set up the problem that way. 

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

121.8 is ?% of 105

`(121.8)/(105) = 1.16 `   just move the decimal point 2 places to the right to get the percentage.

`1.16= 116%`

Jyotsana's profile pic

Jyotsana | Student, Grade 10 | (Level 1) Valedictorian

Posted on

105*x/100= 121.8

100/105*x/100=121.8*100/105

x=116%

121.8 is 116% of 105

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