154.45 is what percent of 170 - 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 170 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 170, so we can write it down as 100%=170.
4. We know, that x% equals 154.45 of the output value, so we can write it down as x%=154.45.
5. Now we have two simple equations:
1) 100%=170
2) x%=154.45
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%=170/154.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.45 is what percent of 170

100%/x%=170/154.45
(100/x)*x=(170/154.45)*x       - we multiply both sides of the equation by x
100=1.1006798316607*x       - we divide both sides of the equation by (1.1006798316607) to get x
100/1.1006798316607=x
90.852941176471=x
x=90.852941176471

now we have:
154.45 is 90.852941176471% of 170