110.21 is what percent of 1.148 - 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 1.148 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 1.148, so we can write it down as 100%=1.148.
4. We know, that x% equals 110.21 of the output value, so we can write it down as x%=110.21.
5. Now we have two simple equations:
1) 100%=1.148
2) x%=110.21
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%=1.148/110.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.21 is what percent of 1.148

100%/x%=1.148/110.21
(100/x)*x=(1.148/110.21)*x       - we multiply both sides of the equation by x
100=0.010416477633609*x       - we divide both sides of the equation by (0.010416477633609) to get x
100/0.010416477633609=x
9600.1742160279=x
x=9600.1742160279

now we have:
110.21 is 9600.1742160279% of 1.148