Step-by-step explanation:
Solution for 112.5 is what percent of 150:
112.5:150*100 =
(112.5*100):150 =
11250:150 = 75
Now we have: 112.5 is what percent of 150 = 75
Question: 112.5 is what percent of 150?
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, $x\%=112.5$x%=112.5.
Step 5: This gives us a pair of simple equations:
$100\%=150(1)$100%=150(1).
$x\%=112.5(2)$x%=112.5(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}{112.5}$100%x%=150112.5
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{112.5}{150}$x%100%=112.5150
$\Rightarrow x=75\%$⇒x=75%
Therefore, $112.5$112.5 is $75\%$75% of $150$150.
