83.4 is what percent of 101.2 - 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 101.2 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 101.2, so we can write it down as 100%=101.2.
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%=101.2
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%=101.2/83.4
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 101.2

100%/x%=101.2/83.4
(100/x)*x=(101.2/83.4)*x       - we multiply both sides of the equation by x
100=1.2134292565947*x       - we divide both sides of the equation by (1.2134292565947) to get x
100/1.2134292565947=x
82.411067193676=x
x=82.411067193676

now we have:
83.4 is 82.411067193676% of 101.2