379.19 is what percent of 558.68 - 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 558.68 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 558.68, so we can write it down as 100%=558.68.
4. We know, that x% equals 379.19 of the output value, so we can write it down as x%=379.19.
5. Now we have two simple equations:
1) 100%=558.68
2) x%=379.19
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%=558.68/379.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.19 is what percent of 558.68

100%/x%=558.68/379.19
(100/x)*x=(558.68/379.19)*x       - we multiply both sides of the equation by x
100=1.4733510904823*x       - we divide both sides of the equation by (1.4733510904823) to get x
100/1.4733510904823=x
67.872485143553=x
x=67.872485143553

now we have:
379.19 is 67.872485143553% of 558.68