39.8 is what percent of 410.98 - 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 410.98 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 410.98, so we can write it down as 100%=410.98.
4. We know, that x% equals 39.8 of the output value, so we can write it down as x%=39.8.
5. Now we have two simple equations:
1) 100%=410.98
2) x%=39.8
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%=410.98/39.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.8 is what percent of 410.98

100%/x%=410.98/39.8
(100/x)*x=(410.98/39.8)*x       - we multiply both sides of the equation by x
100=10.326130653266*x       - we divide both sides of the equation by (10.326130653266) to get x
100/10.326130653266=x
9.6841695459633=x
x=9.6841695459633

now we have:
39.8 is 9.6841695459633% of 410.98