Question

34% of what number is 51

Answer 1

34% is equal to 0.34 and n stands for the missing number the word of implies multiplication so n * 0.34 = 51

use the inverse operation of multiplication, division to get n by itself so n= 51 / 0.34

51 / 0.34 = 150

150=n

Answer 2

1. We assume, that the number 51 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 51, so we can write it down as 100%=51.
4. We know, that x% equals 34 of the output value, so we can write it down as x%=34.
5. Now we have two simple equations:
1) 100%=51
2) x%=34
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=51/34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34 is what percent of 51

100%/x%=51/34
(100/x)*x=(51/34)*x - we multiply both sides of the equation by x
100=1.5*x - we divide both sides of the equation by (1.5) to get x
100/1.5=x
66.6666666667=x
x=66.6666666667

now we have:
34 is 66.6666666667% of 51