103.82 is what percent of 679.24 - 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 679.24 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 679.24, so we can write it down as 100%=679.24.
4. We know, that x% equals 103.82 of the output value, so we can write it down as x%=103.82.
5. Now we have two simple equations:
1) 100%=679.24
2) x%=103.82
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%=679.24/103.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.82 is what percent of 679.24

100%/x%=679.24/103.82
(100/x)*x=(679.24/103.82)*x       - we multiply both sides of the equation by x
100=6.5424773646696*x       - we divide both sides of the equation by (6.5424773646696) to get x
100/6.5424773646696=x
15.284729992344=x
x=15.284729992344

now we have:
103.82 is 15.284729992344% of 679.24