168.61 is what percent of 3118.19 - 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 3118.19 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 3118.19, so we can write it down as 100%=3118.19.
4. We know, that x% equals 168.61 of the output value, so we can write it down as x%=168.61.
5. Now we have two simple equations:
1) 100%=3118.19
2) x%=168.61
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%=3118.19/168.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.61 is what percent of 3118.19

100%/x%=3118.19/168.61
(100/x)*x=(3118.19/168.61)*x       - we multiply both sides of the equation by x
100=18.493505723267*x       - we divide both sides of the equation by (18.493505723267) to get x
100/18.493505723267=x
5.4073035959964=x
x=5.4073035959964

now we have:
168.61 is 5.4073035959964% of 3118.19