1018.46 is what percent of 6041.67 - 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 6041.67 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 6041.67, so we can write it down as 100%=6041.67.
4. We know, that x% equals 1018.46 of the output value, so we can write it down as x%=1018.46.
5. Now we have two simple equations:
1) 100%=6041.67
2) x%=1018.46
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%=6041.67/1018.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1018.46 is what percent of 6041.67

100%/x%=6041.67/1018.46
(100/x)*x=(6041.67/1018.46)*x       - we multiply both sides of the equation by x
100=5.9321622842331*x       - we divide both sides of the equation by (5.9321622842331) to get x
100/5.9321622842331=x
16.85725966496=x
x=16.85725966496

now we have:
1018.46 is 16.85725966496% of 6041.67