How do you figure out what percent one number is of another?

Question

How do you figure what percent increase $2,345 is over $2,000?

How do you figure what percent $400 is of $3,789?

Answer 1

Percent means per 100!
you have x and want to calculate the perceptual increase for y.
x/100%=1% of x
y is increased with (y-x)/(1% of x)=(y-x)/(x/100)
=(y-x/x)100%

Get that and you are able to calculate all types of percent questions

Answer 2

First, focus on the $2000, as this is the quantity that you will be relating your answer to. Now how much over $2000 is $2345? It is $345 over. Now you say "what percentage of $2000 is $345?" and the answer will be the percentage increase. To see what's going on, imagine your question is 'what percentage increase $2000 is, over $2000?'. Obviously, there is no increase, so the answer to that would be a 0% increase. Now imagine your question is 'what percentage increase $4000 is, over $2000?'. Here, there is an increase of $2000, which is a 100% increase, because the initial $2000 can be regarded as 100% of all that you started with. The value of $345 lies between these two questions, that is, it lies between $0 increase (0%) and $2000 increase (100%). It lies at the fractional value of 345 / 2000, and to turn this into a percentage, you multiply it by 100. The result of (345 / 2000) * 100 is 17.25%. So the percentage increase is 17.25%.
A formula for this type of question is :
Percentage Increase = 100(B - A) / A
where A is the smaller of the two numbers.

For the second question, think $0 is 0% of $3789, and $3789 is 100% of $3789, so $400 is the fractional part 400 / 3789. Change this to a percentage by multiplying by 100. The answer is 10.56% to 2 decimal places.
A formula for this type of question is :
Percentage = 100A / B
where A represents the 400 and B the 3789 in your question.

Answer 3

basically when you want to find percentage..

subtract the two numbers and divide it by the number from which you are trying to find the percentage.
like A-B/B

A)
Increase in $2,345 is over $2,000

2345-2000/2000 = 345/2000 = 0.1725

for percentage multiply by 100

thus, 0.1725 * 100 = 17.25 % increase


B)

400/3789 = 10.56 /100

thus 400 is 10.56% of 3789

Answer 4

You need to consider which figure is your whole number i.e your 100%. In example 1) $2000 is your 100% and you are looking for what % increase $2345 is. so...
100/2000 = 0.05
0.05 * 2345 = 117.25 Thus, £2345 represents 117.25% of $2000 or rather an 17.25% increase.

As for the 2nd example - the 3789 is the 100% - same principle applies.

Answer 5

let it be x
the equation
2000(1+x/100)=2345
2000(100+x)/100=2345
2000(100+x)=234500
200000+2000x=234500
2000x=34500
x=34500/2000
=17.25%


2.let 400/3789 *100=x
x=40000/3789=10.56%

Answer 6

divide the greater by the lesser and divide 100 by the answer

Answer 7

2,000 / 2,345

5.79 % increase

$3,789 / 400

9.47 % of $3,789