116.42 is what percent of 5891.39 - 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 5891.39 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 5891.39, so we can write it down as 100%=5891.39.
4. We know, that x% equals 116.42 of the output value, so we can write it down as x%=116.42.
5. Now we have two simple equations:
1) 100%=5891.39
2) x%=116.42
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%=5891.39/116.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.42 is what percent of 5891.39

100%/x%=5891.39/116.42
(100/x)*x=(5891.39/116.42)*x       - we multiply both sides of the equation by x
100=50.604621199107*x       - we divide both sides of the equation by (50.604621199107) to get x
100/50.604621199107=x
1.9761041112539=x
x=1.9761041112539

now we have:
116.42 is 1.9761041112539% of 5891.39