89.67 is what percent of 719.19 - 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 719.19 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 719.19, so we can write it down as 100%=719.19.
4. We know, that x% equals 89.67 of the output value, so we can write it down as x%=89.67.
5. Now we have two simple equations:
1) 100%=719.19
2) x%=89.67
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%=719.19/89.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.67 is what percent of 719.19

100%/x%=719.19/89.67
(100/x)*x=(719.19/89.67)*x       - we multiply both sides of the equation by x
100=8.0204081632653*x       - we divide both sides of the equation by (8.0204081632653) to get x
100/8.0204081632653=x
12.468193384224=x
x=12.468193384224

now we have:
89.67 is 12.468193384224% of 719.19