146.6 is what percent of 2098.67 - 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 2098.67 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 2098.67, so we can write it down as 100%=2098.67.
4. We know, that x% equals 146.6 of the output value, so we can write it down as x%=146.6.
5. Now we have two simple equations:
1) 100%=2098.67
2) x%=146.6
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%=2098.67/146.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.6 is what percent of 2098.67

100%/x%=2098.67/146.6
(100/x)*x=(2098.67/146.6)*x       - we multiply both sides of the equation by x
100=14.315620736699*x       - we divide both sides of the equation by (14.315620736699) to get x
100/14.315620736699=x
6.9853764527058=x
x=6.9853764527058

now we have:
146.6 is 6.9853764527058% of 2098.67