83.4 is what percent of 116 - 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 116 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 116, so we can write it down as 100%=116.
4. We know, that x% equals 83.4 of the output value, so we can write it down as x%=83.4.
5. Now we have two simple equations:
1) 100%=116
2) x%=83.4
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%=116/83.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.4 is what percent of 116

100%/x%=116/83.4
(100/x)*x=(116/83.4)*x       - we multiply both sides of the equation by x
100=1.3908872901679*x       - we divide both sides of the equation by (1.3908872901679) to get x
100/1.3908872901679=x
71.896551724138=x
x=71.896551724138

now we have:
83.4 is 71.896551724138% of 116