1.16 is what percent of 17.8 - 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 17.8 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 17.8, so we can write it down as 100%=17.8.
4. We know, that x% equals 1.16 of the output value, so we can write it down as x%=1.16.
5. Now we have two simple equations:
1) 100%=17.8
2) x%=1.16
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%=17.8/1.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.16 is what percent of 17.8

100%/x%=17.8/1.16
(100/x)*x=(17.8/1.16)*x       - we multiply both sides of the equation by x
100=15.344827586207*x       - we divide both sides of the equation by (15.344827586207) to get x
100/15.344827586207=x
6.5168539325843=x
x=6.5168539325843

now we have:
1.16 is 6.5168539325843% of 17.8