61.8 is what percent of 999.9 - 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 999.9 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 999.9, so we can write it down as 100%=999.9.
4. We know, that x% equals 61.8 of the output value, so we can write it down as x%=61.8.
5. Now we have two simple equations:
1) 100%=999.9
2) x%=61.8
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%=999.9/61.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.8 is what percent of 999.9

100%/x%=999.9/61.8
(100/x)*x=(999.9/61.8)*x       - we multiply both sides of the equation by x
100=16.179611650485*x       - we divide both sides of the equation by (16.179611650485) to get x
100/16.179611650485=x
6.1806180618062=x
x=6.1806180618062

now we have:
61.8 is 6.1806180618062% of 999.9