20 is what percent of 706.9 - 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 706.9 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 706.9, so we can write it down as 100%=706.9.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=706.9
2) x%=20
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%=706.9/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 706.9

100%/x%=706.9/20
(100/x)*x=(706.9/20)*x       - we multiply both sides of the equation by x
100=35.345*x       - we divide both sides of the equation by (35.345) to get x
100/35.345=x
2.8292544914415=x
x=2.8292544914415

now we have:
20 is 2.8292544914415% of 706.9