358.95 is what percent of 1968.28 - 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 1968.28 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 1968.28, so we can write it down as 100%=1968.28.
4. We know, that x% equals 358.95 of the output value, so we can write it down as x%=358.95.
5. Now we have two simple equations:
1) 100%=1968.28
2) x%=358.95
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%=1968.28/358.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 358.95 is what percent of 1968.28

100%/x%=1968.28/358.95
(100/x)*x=(1968.28/358.95)*x       - we multiply both sides of the equation by x
100=5.4834378047082*x       - we divide both sides of the equation by (5.4834378047082) to get x
100/5.4834378047082=x
18.236734610929=x
x=18.236734610929

now we have:
358.95 is 18.236734610929% of 1968.28