691.6 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 691.6 of the output value, so we can write it down as x%=691.6.
5. Now we have two simple equations:
1) 100%=800
2) x%=691.6
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%=800/691.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 691.6 is what percent of 800

100%/x%=800/691.6
(100/x)*x=(800/691.6)*x       - we multiply both sides of the equation by x
100=1.1567379988433*x       - we divide both sides of the equation by (1.1567379988433) to get x
100/1.1567379988433=x
86.45=x
x=86.45

now we have:
691.6 is 86.45% of 800