379.8 is what percent of 718.8 - 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 718.8 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 718.8, so we can write it down as 100%=718.8.
4. We know, that x% equals 379.8 of the output value, so we can write it down as x%=379.8.
5. Now we have two simple equations:
1) 100%=718.8
2) x%=379.8
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%=718.8/379.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.8 is what percent of 718.8

100%/x%=718.8/379.8
(100/x)*x=(718.8/379.8)*x       - we multiply both sides of the equation by x
100=1.8925750394945*x       - we divide both sides of the equation by (1.8925750394945) to get x
100/1.8925750394945=x
52.838063439065=x
x=52.838063439065

now we have:
379.8 is 52.838063439065% of 718.8