109.95 is what percent of 5843 - 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 5843 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 5843, so we can write it down as 100%=5843.
4. We know, that x% equals 109.95 of the output value, so we can write it down as x%=109.95.
5. Now we have two simple equations:
1) 100%=5843
2) x%=109.95
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%=5843/109.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.95 is what percent of 5843

100%/x%=5843/109.95
(100/x)*x=(5843/109.95)*x       - we multiply both sides of the equation by x
100=53.142337426103*x       - we divide both sides of the equation by (53.142337426103) to get x
100/53.142337426103=x
1.8817388327914=x
x=1.8817388327914

now we have:
109.95 is 1.8817388327914% of 5843