698.84 is what percent of 845.1 - 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 845.1 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 845.1, so we can write it down as 100%=845.1.
4. We know, that x% equals 698.84 of the output value, so we can write it down as x%=698.84.
5. Now we have two simple equations:
1) 100%=845.1
2) x%=698.84
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%=845.1/698.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 698.84 is what percent of 845.1

100%/x%=845.1/698.84
(100/x)*x=(845.1/698.84)*x       - we multiply both sides of the equation by x
100=1.2092896800412*x       - we divide both sides of the equation by (1.2092896800412) to get x
100/1.2092896800412=x
82.693172405632=x
x=82.693172405632

now we have:
698.84 is 82.693172405632% of 845.1