For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number is 40% of 1602​

Answer:

A. 160 Out of 40 is 400%./// B. The answer is 25/// C.  The answer is 3905%

Step-by-step explanation:

( A )  One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 160 is 40% of =  160 X 100     = 400

                                        40

( B ) The same thing as A but the numbers are switched

       One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 40 is 160% of = 40 × 100      = 25

                                          160

( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:

1602 - 40 = 1562

Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:

1562      = 39.05          

40

We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?

39.05 x 100 = 3905%

160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Problem A,

40% of 160 = 160 x 40 / 100

                  = 64

Problem B,

160% of 40 = 160 x 40 / 100

                  = 64

Problem C,

40% of 1602 = 1602 x 40 / 100

                     = 640.8

Therefore, 160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

To learn more about the percentage;

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