160.7 is what percent of 154 - 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 154 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 154, so we can write it down as 100%=154.
4. We know, that x% equals 160.7 of the output value, so we can write it down as x%=160.7.
5. Now we have two simple equations:
1) 100%=154
2) x%=160.7
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%=154/160.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.7 is what percent of 154

100%/x%=154/160.7
(100/x)*x=(154/160.7)*x       - we multiply both sides of the equation by x
100=0.95830740510268*x       - we divide both sides of the equation by (0.95830740510268) to get x
100/0.95830740510268=x
104.35064935065=x
x=104.35064935065

now we have:
160.7 is 104.35064935065% of 154