Question

75% of the whole is 180. What's the whole? .

Answer 1

Solution for What is 75 percent of 180:

75 percent *180 =

( 75:100)*180 =

( 75*180):100 =

13500:100 = 135

Now we have: 75 percent of 180 = 135

Question: What is 75 percent of 180?

Percentage solution with steps:

Step 1: Our output value is 180.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$180=100\%$180=100%​.

Step 4: Similarly, $x=75\%$x=75%​.

Step 5: This results in a pair of simple equations:

$180=100\%(1)$180=100%(1)​.

$x=75\%(2)$x=75%(2)​.

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

$\frac{180}{x}=\frac{100\%}{75\%}$
180
x​=
100%
75%​​

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{180}=\frac{75}{100}$
x
180​=
75
100​​

$\Rightarrow x=135$⇒x=135​

Therefore, $75\%$75%​ of $180$180​ is $135$