19 is what percent of 2705 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 2705 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 2705, so we can write it down as 100%=2705.
4. We know, that x% equals 19 of the output value, so we can write it down as x%=19.
5. Now we have two simple equations:
1) 100%=2705
2) x%=19
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%=2705/19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19 is what percent of 2705

100%/x%=2705/19
(100/x)*x=(2705/19)*x       - we multiply both sides of the equation by x
100=142.36842105263*x       - we divide both sides of the equation by (142.36842105263) to get x
100/142.36842105263=x
0.70240295748614=x
x=0.70240295748614

now we have:
19 is 0.70240295748614% of 2705