100.6 is what percent of 1.048 - 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 1.048 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 1.048, so we can write it down as 100%=1.048.
4. We know, that x% equals 100.6 of the output value, so we can write it down as x%=100.6.
5. Now we have two simple equations:
1) 100%=1.048
2) x%=100.6
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%=1.048/100.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.6 is what percent of 1.048

100%/x%=1.048/100.6
(100/x)*x=(1.048/100.6)*x       - we multiply both sides of the equation by x
100=0.010417495029821*x       - we divide both sides of the equation by (0.010417495029821) to get x
100/0.010417495029821=x
9599.2366412214=x
x=9599.2366412214

now we have:
100.6 is 9599.2366412214% of 1.048