170.1 is what percent of 1075.9 - 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 1075.9 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 1075.9, so we can write it down as 100%=1075.9.
4. We know, that x% equals 170.1 of the output value, so we can write it down as x%=170.1.
5. Now we have two simple equations:
1) 100%=1075.9
2) x%=170.1
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%=1075.9/170.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.1 is what percent of 1075.9

100%/x%=1075.9/170.1
(100/x)*x=(1075.9/170.1)*x       - we multiply both sides of the equation by x
100=6.3251028806584*x       - we divide both sides of the equation by (6.3251028806584) to get x
100/6.3251028806584=x
15.810019518543=x
x=15.810019518543

now we have:
170.1 is 15.810019518543% of 1075.9