Question: What is 25 percent of 30?
Percentage solution with steps:
Step 1: Our output value is 30.
Step 2: We represent the unknown value with [tex]x[/tex].
Step 3: From step 1 above, [tex]30 = 100%[/tex]%.
Step 4: Similarly, [tex]x = 25[/tex]%.
Step 5: This results in a pair of simple equations:
[tex]30 = 100[/tex]% [tex](1)[/tex].
[tex]x = 25[/tex]% [tex](2)[/tex].
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have
[tex]\frac{30}{x} = \frac{100percent}{25percent}[/tex]
Step 7: Again, the reciprocal of both sides gives
[tex]\frac{x}{30} = \frac{25}{100}[/tex]
Therefore, [tex]25[/tex]% of [tex]30[/tex] is [tex]7.5[/tex]
