Question

What is 40% of 206?
Enter your answer as a decimal

SHOW YOUR WORK :)

Answer 1

82.4

Explanation:

Step 1: Our output value is 206.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 206 = 100%

Step 4: Similarly, x = 40%

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

206 = 100% (1)

x = 40%(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

`(206)/(x) =(100)/(40) %`%

Step 7: Again, the reciprocal of both sides gives

`(x)/(206)=(40)/(100)`

Answer 2

• 82.4

Solution:

This method can be used to find any percentage!

• 206 x 40 = 8240
• 8240 ÷ 100 = 82.4

- Zac