160.06 is what percent of 740.25 - 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 740.25 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 740.25, so we can write it down as 100%=740.25.
4. We know, that x% equals 160.06 of the output value, so we can write it down as x%=160.06.
5. Now we have two simple equations:
1) 100%=740.25
2) x%=160.06
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%=740.25/160.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.06 is what percent of 740.25

100%/x%=740.25/160.06
(100/x)*x=(740.25/160.06)*x       - we multiply both sides of the equation by x
100=4.624828189429*x       - we divide both sides of the equation by (4.624828189429) to get x
100/4.624828189429=x
21.622424856467=x
x=21.622424856467

now we have:
160.06 is 21.622424856467% of 740.25