116.88 is what percent of 599.55 - 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 599.55 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 599.55, so we can write it down as 100%=599.55.
4. We know, that x% equals 116.88 of the output value, so we can write it down as x%=116.88.
5. Now we have two simple equations:
1) 100%=599.55
2) x%=116.88
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%=599.55/116.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.88 is what percent of 599.55

100%/x%=599.55/116.88
(100/x)*x=(599.55/116.88)*x       - we multiply both sides of the equation by x
100=5.1296201232033*x       - we divide both sides of the equation by (5.1296201232033) to get x
100/5.1296201232033=x
19.494620965724=x
x=19.494620965724

now we have:
116.88 is 19.494620965724% of 599.55