Question

What percent of 150 is 52.5? O 0.35% O 15% 0 28.6% O 35%

Answer 1

Answer:

35%

Step-by-step explanation:

.0035*150= .525

.0015*150=.225

.286*150=42.9

.35*150=52.5

Answer 2

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%=150$100%=150​.

Step 4: In the same vein, $x\%=52.5$x%=52.5​.

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

$100\%=150(1)$100%=150(1)​.

$x\%=52.5(2)$x%=52.5(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

$\frac{100\%}{x\%}=\frac{150}{52.5}$
100%
x%​=
150
52.5​​

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

$\frac{x\%}{100\%}=\frac{52.5}{150}$
x%
100%​=
52.5
150​​

$\Rightarrow x=35\%$⇒x=35%​

Therefore, $52.5$52.5​ is $35\%$35%​ of $150$150​.