12629.6 is what percent of 98899.4 - 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 98899.4 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 98899.4, so we can write it down as 100%=98899.4.
4. We know, that x% equals 12629.6 of the output value, so we can write it down as x%=12629.6.
5. Now we have two simple equations:
1) 100%=98899.4
2) x%=12629.6
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%=98899.4/12629.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12629.6 is what percent of 98899.4

100%/x%=98899.4/12629.6
(100/x)*x=(98899.4/12629.6)*x       - we multiply both sides of the equation by x
100=7.8307626528156*x       - we divide both sides of the equation by (7.8307626528156) to get x
100/7.8307626528156=x
12.770148251658=x
x=12.770148251658

now we have:
12629.6 is 12.770148251658% of 98899.4