718.8 is what percent of 799.9 - 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 799.9 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 799.9, so we can write it down as 100%=799.9.
4. We know, that x% equals 718.8 of the output value, so we can write it down as x%=718.8.
5. Now we have two simple equations:
1) 100%=799.9
2) x%=718.8
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%=799.9/718.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 718.8 is what percent of 799.9

100%/x%=799.9/718.8
(100/x)*x=(799.9/718.8)*x       - we multiply both sides of the equation by x
100=1.1128269337785*x       - we divide both sides of the equation by (1.1128269337785) to get x
100/1.1128269337785=x
89.861232654082=x
x=89.861232654082

now we have:
718.8 is 89.861232654082% of 799.9