1188.98 is what percent of 1224.75 - 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 1224.75 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 1224.75, so we can write it down as 100%=1224.75.
4. We know, that x% equals 1188.98 of the output value, so we can write it down as x%=1188.98.
5. Now we have two simple equations:
1) 100%=1224.75
2) x%=1188.98
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%=1224.75/1188.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1188.98 is what percent of 1224.75

100%/x%=1224.75/1188.98
(100/x)*x=(1224.75/1188.98)*x       - we multiply both sides of the equation by x
100=1.0300846103383*x       - we divide both sides of the equation by (1.0300846103383) to get x
100/1.0300846103383=x
97.079403959992=x
x=97.079403959992

now we have:
1188.98 is 97.079403959992% of 1224.75