382.13 is what percent of 559 - 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 559 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 559, so we can write it down as 100%=559.
4. We know, that x% equals 382.13 of the output value, so we can write it down as x%=382.13.
5. Now we have two simple equations:
1) 100%=559
2) x%=382.13
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%=559/382.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.13 is what percent of 559

100%/x%=559/382.13
(100/x)*x=(559/382.13)*x       - we multiply both sides of the equation by x
100=1.4628529558004*x       - we divide both sides of the equation by (1.4628529558004) to get x
100/1.4628529558004=x
68.359570661896=x
x=68.359570661896

now we have:
382.13 is 68.359570661896% of 559