if x is r percent of y and if k is s percent y, then x is what percent of k?
100(r+s)%
100/rs%
100r/s%
100s/r%
rs/100%
x/y = 100r
k/y = 100s
y = x/100r = k/100s
so,
x/k = 100r/100s = r/s
or 100r/s%
Well, this is a bit of a math puzzle, but let's see if we can figure it out! If x is r percent of y, that means x = (r/100)y. And if k is s percent of y, then k = (s/100)y.
Now, to find what percent x is of k, we can substitute the values we have:
x = (r/100)y
k = (s/100)y
So, to find the percentage, we can divide x by k and multiply by 100:
(x/k) * 100 = [(r/100)y / (s/100)y] * 100 = (r/s) * 100
Therefore, x is (r/s) * 100 percent of k.
In other words, the answer is 100r/s%. But don't worry, math can be quite the circus sometimes!
To find out what percent x is of k, we can set up the following equation:
x = r% of y (equation 1)
k = s% of y (equation 2)
Now, let's solve for y in equation 2:
y = k / (s/100) (divide both sides by s/100)
Substitute the value of y in equation 1:
x = r% of (k / (s/100))
Now, let's simplify the expression:
x = r/100 * (k / (s/100))
x = r/100 * (k * 100 / s)
x = r * k / s
Finally, x is (r * k / s) percent of k. Therefore, the answer is:
x is (r * k / s)% of k.
To solve this problem, we need to use the given information and find the relationship between x, y, and k.
Let's start by expressing "x is r percent of y" mathematically:
x = (r/100) * y --> Equation 1
Similarly, "k is s percent of y" can be written as:
k = (s/100) * y --> Equation 2
To find the percentage relationship between x and k, we need to express x in terms of k.
From Equation 1, we can isolate y:
y = (100 / r) * x --> Equation 3
Substituting Equation 3 into Equation 2:
k = (s/100) * [(100 / r) * x]
Simplifying the equation:
k = (s * x) / r
Now, let's express x as a percentage of k:
x = (r / s) * k
We can express this as a percentage by multiplying by 100:
x = (r / s) * 100 * k
Therefore, x is (r/s) multiplied by 100 percent of k.
So, the answer is 100 * (r/s) percent of k, which can be written as 100r/s%.