Question

What percent of 675 is 270?

Answer 1

Answer:

40%

Step-by-step explanation:

Step 1: We make the assumption that 675 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100\%=675.

Step 4: In the same vein, x\%=270.

Step 5: This gives us a pair of simple equations:

100\%=675(1).

x\%=270(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

100%/x%  =  675/270

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100% = 270/675

x=40%

Therefore, 270 is 40% of 675