355.36 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 355.36 of the output value, so we can write it down as x%=355.36.
5. Now we have two simple equations:
1) 100%=699
2) x%=355.36
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%=699/355.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.36 is what percent of 699

100%/x%=699/355.36
(100/x)*x=(699/355.36)*x       - we multiply both sides of the equation by x
100=1.9670193606484*x       - we divide both sides of the equation by (1.9670193606484) to get x
100/1.9670193606484=x
50.838340486409=x
x=50.838340486409

now we have:
355.36 is 50.838340486409% of 699