88.26562448 is what percent of 1236.42 - 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 1236.42 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 1236.42, so we can write it down as 100%=1236.42.
4. We know, that x% equals 88.26562448 of the output value, so we can write it down as x%=88.26562448.
5. Now we have two simple equations:
1) 100%=1236.42
2) x%=88.26562448
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%=1236.42/88.26562448
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.26562448 is what percent of 1236.42

100%/x%=1236.42/88.26562448
(100/x)*x=(1236.42/88.26562448)*x       - we multiply both sides of the equation by x
100=14.007944851511*x       - we divide both sides of the equation by (14.007944851511) to get x
100/14.007944851511=x
7.1388059461995=x
x=7.1388059461995

now we have:
88.26562448 is 7.1388059461995% of 1236.42