18.4 is what percent of 1.16 - 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 1.16 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 1.16, so we can write it down as 100%=1.16.
4. We know, that x% equals 18.4 of the output value, so we can write it down as x%=18.4.
5. Now we have two simple equations:
1) 100%=1.16
2) x%=18.4
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%=1.16/18.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.4 is what percent of 1.16

100%/x%=1.16/18.4
(100/x)*x=(1.16/18.4)*x       - we multiply both sides of the equation by x
100=0.06304347826087*x       - we divide both sides of the equation by (0.06304347826087) to get x
100/0.06304347826087=x
1586.2068965517=x
x=1586.2068965517

now we have:
18.4 is 1586.2068965517% of 1.16