34.86 is what percent of 360 - 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 360 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 360, so we can write it down as 100%=360.
4. We know, that x% equals 34.86 of the output value, so we can write it down as x%=34.86.
5. Now we have two simple equations:
1) 100%=360
2) x%=34.86
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%=360/34.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.86 is what percent of 360

100%/x%=360/34.86
(100/x)*x=(360/34.86)*x       - we multiply both sides of the equation by x
100=10.327022375215*x       - we divide both sides of the equation by (10.327022375215) to get x
100/10.327022375215=x
9.6833333333333=x
x=9.6833333333333

now we have:
34.86 is 9.6833333333333% of 360