841.59 is what percent of 1008 - 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 1008 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 1008, so we can write it down as 100%=1008.
4. We know, that x% equals 841.59 of the output value, so we can write it down as x%=841.59.
5. Now we have two simple equations:
1) 100%=1008
2) x%=841.59
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%=1008/841.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 841.59 is what percent of 1008

100%/x%=1008/841.59
(100/x)*x=(1008/841.59)*x       - we multiply both sides of the equation by x
100=1.1977328627954*x       - we divide both sides of the equation by (1.1977328627954) to get x
100/1.1977328627954=x
83.491071428571=x
x=83.491071428571

now we have:
841.59 is 83.491071428571% of 1008