114.78 is what percent of 1034.21 - 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 1034.21 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 1034.21, so we can write it down as 100%=1034.21.
4. We know, that x% equals 114.78 of the output value, so we can write it down as x%=114.78.
5. Now we have two simple equations:
1) 100%=1034.21
2) x%=114.78
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%=1034.21/114.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.78 is what percent of 1034.21

100%/x%=1034.21/114.78
(100/x)*x=(1034.21/114.78)*x       - we multiply both sides of the equation by x
100=9.0103676598711*x       - we divide both sides of the equation by (9.0103676598711) to get x
100/9.0103676598711=x
11.09832625869=x
x=11.09832625869

now we have:
114.78 is 11.09832625869% of 1034.21