0.83 is what percent of 2.142 - 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 2.142 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 2.142, so we can write it down as 100%=2.142.
4. We know, that x% equals 0.83 of the output value, so we can write it down as x%=0.83.
5. Now we have two simple equations:
1) 100%=2.142
2) x%=0.83
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%=2.142/0.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.83 is what percent of 2.142

100%/x%=2.142/0.83
(100/x)*x=(2.142/0.83)*x       - we multiply both sides of the equation by x
100=2.5807228915663*x       - we divide both sides of the equation by (2.5807228915663) to get x
100/2.5807228915663=x
38.74883286648=x
x=38.74883286648

now we have:
0.83 is 38.74883286648% of 2.142