5:1.025*100 =
(5*100):1.025 =
500:1.025 = 487.80487804878
Now we have: 5 is what percent of 1.025 = 487.80487804878
Question: 5 is what percent of 1.025?
Percentage solution with steps:
Step 1: We make the assumption that 1.025 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\%=1.025$100%=1.025.
Step 4: In the same vein, $x\%=5$x%=5.
Step 5: This gives us a pair of simple equations:
$100\%=1.025(1)$100%=1.025(1).
$x\%=5(2)$x%=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
$\frac{100\%}{x\%}=\frac{1.025}{5}$
100%
x%=
1.025
5
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{5}{1.025}$
x%
100%=
5
1.025
$\Rightarrow x=487.80487804878\%$⇒x=487.80487804878%
Therefore, $5$5 is $487.80487804878\%$487.80487804878% of $1.025$1.025.