884.44 is what percent of 1595.4 - 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 1595.4 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 1595.4, so we can write it down as 100%=1595.4.
4. We know, that x% equals 884.44 of the output value, so we can write it down as x%=884.44.
5. Now we have two simple equations:
1) 100%=1595.4
2) x%=884.44
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%=1595.4/884.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 884.44 is what percent of 1595.4

100%/x%=1595.4/884.44
(100/x)*x=(1595.4/884.44)*x       - we multiply both sides of the equation by x
100=1.8038532856949*x       - we divide both sides of the equation by (1.8038532856949) to get x
100/1.8038532856949=x
55.43688103297=x
x=55.43688103297

now we have:
884.44 is 55.43688103297% of 1595.4