0.84 is what percent of 2.106 - 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 2.106 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 2.106, so we can write it down as 100%=2.106.
4. We know, that x% equals 0.84 of the output value, so we can write it down as x%=0.84.
5. Now we have two simple equations:
1) 100%=2.106
2) x%=0.84
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%=2.106/0.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.84 is what percent of 2.106

100%/x%=2.106/0.84
(100/x)*x=(2.106/0.84)*x       - we multiply both sides of the equation by x
100=2.5071428571429*x       - we divide both sides of the equation by (2.5071428571429) to get x
100/2.5071428571429=x
39.88603988604=x
x=39.88603988604

now we have:
0.84 is 39.88603988604% of 2.106