843.62 is what percent of 789.69 - 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 789.69 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 789.69, so we can write it down as 100%=789.69.
4. We know, that x% equals 843.62 of the output value, so we can write it down as x%=843.62.
5. Now we have two simple equations:
1) 100%=789.69
2) x%=843.62
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%=789.69/843.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 843.62 is what percent of 789.69

100%/x%=789.69/843.62
(100/x)*x=(789.69/843.62)*x       - we multiply both sides of the equation by x
100=0.93607311348712*x       - we divide both sides of the equation by (0.93607311348712) to get x
100/0.93607311348712=x
106.82926211551=x
x=106.82926211551

now we have:
843.62 is 106.82926211551% of 789.69