356.4 is what percent of 1079.99 - 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 1079.99 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 1079.99, so we can write it down as 100%=1079.99.
4. We know, that x% equals 356.4 of the output value, so we can write it down as x%=356.4.
5. Now we have two simple equations:
1) 100%=1079.99
2) x%=356.4
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%=1079.99/356.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 356.4 is what percent of 1079.99

100%/x%=1079.99/356.4
(100/x)*x=(1079.99/356.4)*x       - we multiply both sides of the equation by x
100=3.0302749719416*x       - we divide both sides of the equation by (3.0302749719416) to get x
100/3.0302749719416=x
33.000305558385=x
x=33.000305558385

now we have:
356.4 is 33.000305558385% of 1079.99