844.5 is what percent of 919 - 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 919 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 919, so we can write it down as 100%=919.
4. We know, that x% equals 844.5 of the output value, so we can write it down as x%=844.5.
5. Now we have two simple equations:
1) 100%=919
2) x%=844.5
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%=919/844.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 844.5 is what percent of 919

100%/x%=919/844.5
(100/x)*x=(919/844.5)*x       - we multiply both sides of the equation by x
100=1.0882178804026*x       - we divide both sides of the equation by (1.0882178804026) to get x
100/1.0882178804026=x
91.893362350381=x
x=91.893362350381

now we have:
844.5 is 91.893362350381% of 919