693.96 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 693.96 of the output value, so we can write it down as x%=693.96.
5. Now we have two simple equations:
1) 100%=800
2) x%=693.96
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%=800/693.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 693.96 is what percent of 800

100%/x%=800/693.96
(100/x)*x=(800/693.96)*x       - we multiply both sides of the equation by x
100=1.1528041962073*x       - we divide both sides of the equation by (1.1528041962073) to get x
100/1.1528041962073=x
86.745=x
x=86.745

now we have:
693.96 is 86.745% of 800