615.79 is what percent of 10693.79 - 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 10693.79 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 10693.79, so we can write it down as 100%=10693.79.
4. We know, that x% equals 615.79 of the output value, so we can write it down as x%=615.79.
5. Now we have two simple equations:
1) 100%=10693.79
2) x%=615.79
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%=10693.79/615.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 615.79 is what percent of 10693.79

100%/x%=10693.79/615.79
(100/x)*x=(10693.79/615.79)*x       - we multiply both sides of the equation by x
100=17.365968917975*x       - we divide both sides of the equation by (17.365968917975) to get x
100/17.365968917975=x
5.758388747114=x
x=5.758388747114

now we have:
615.79 is 5.758388747114% of 10693.79