77.43 is what percent of 719.09 - 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 719.09 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 719.09, so we can write it down as 100%=719.09.
4. We know, that x% equals 77.43 of the output value, so we can write it down as x%=77.43.
5. Now we have two simple equations:
1) 100%=719.09
2) x%=77.43
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%=719.09/77.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.43 is what percent of 719.09

100%/x%=719.09/77.43
(100/x)*x=(719.09/77.43)*x       - we multiply both sides of the equation by x
100=9.286968875113*x       - we divide both sides of the equation by (9.286968875113) to get x
100/9.286968875113=x
10.767775939034=x
x=10.767775939034

now we have:
77.43 is 10.767775939034% of 719.09