46.15 is what percent of 699 - 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 699 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 699, so we can write it down as 100%=699.
4. We know, that x% equals 46.15 of the output value, so we can write it down as x%=46.15.
5. Now we have two simple equations:
1) 100%=699
2) x%=46.15
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%=699/46.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.15 is what percent of 699

100%/x%=699/46.15
(100/x)*x=(699/46.15)*x       - we multiply both sides of the equation by x
100=15.146262188516*x       - we divide both sides of the equation by (15.146262188516) to get x
100/15.146262188516=x
6.6022889842632=x
x=6.6022889842632

now we have:
46.15 is 6.6022889842632% of 699