160.4 is what percent of 163.4 - 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 163.4 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 163.4, so we can write it down as 100%=163.4.
4. We know, that x% equals 160.4 of the output value, so we can write it down as x%=160.4.
5. Now we have two simple equations:
1) 100%=163.4
2) x%=160.4
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%=163.4/160.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.4 is what percent of 163.4

100%/x%=163.4/160.4
(100/x)*x=(163.4/160.4)*x       - we multiply both sides of the equation by x
100=1.0187032418953*x       - we divide both sides of the equation by (1.0187032418953) to get x
100/1.0187032418953=x
98.164014687883=x
x=98.164014687883

now we have:
160.4 is 98.164014687883% of 163.4