156.25 is what percent of 160.4 - 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 160.4 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 160.4, so we can write it down as 100%=160.4.
4. We know, that x% equals 156.25 of the output value, so we can write it down as x%=156.25.
5. Now we have two simple equations:
1) 100%=160.4
2) x%=156.25
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%=160.4/156.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.25 is what percent of 160.4

100%/x%=160.4/156.25
(100/x)*x=(160.4/156.25)*x       - we multiply both sides of the equation by x
100=1.02656*x       - we divide both sides of the equation by (1.02656) to get x
100/1.02656=x
97.412718204489=x
x=97.412718204489

now we have:
156.25 is 97.412718204489% of 160.4