219k views
6 votes
$5.40 is what
percent of $4.50?
I
I will give braniest ❤️

User TejaDroid
by
4.3k points

1 Answer

2 votes
Answer:

120%

Step by step explanation

Step 1: We make the assumption that 4.50 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=4.50$100%=4.50​.

Step 4: In the same vein, $x\%=5.40$x%=5.40​.

Step 5: This gives us a pair of simple equations:

$100\%=4.50(1)$100%=4.50(1)​.

$x\%=5.40(2)$x%=5.40(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{4.50}{5.40}$
100%
x%​=
4.50
5.40​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{5.40}{4.50}$
x%
100%​=
5.40
4.50​​

$\Rightarrow x=120\%$⇒x=120%​

Therefore, $5.40$5.40​ is $120\%$120%​ of $4.50$4.50​.


Hope this kinda helped
User Krontogiannis
by
4.1k points