99.8 is what percent of 2368 - 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 2368 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 2368, so we can write it down as 100%=2368.
4. We know, that x% equals 99.8 of the output value, so we can write it down as x%=99.8.
5. Now we have two simple equations:
1) 100%=2368
2) x%=99.8
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%=2368/99.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.8 is what percent of 2368

100%/x%=2368/99.8
(100/x)*x=(2368/99.8)*x       - we multiply both sides of the equation by x
100=23.72745490982*x       - we divide both sides of the equation by (23.72745490982) to get x
100/23.72745490982=x
4.214527027027=x
x=4.214527027027

now we have:
99.8 is 4.214527027027% of 2368