0.83 is what percent of 1.982 - 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 1.982 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 1.982, so we can write it down as 100%=1.982.
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%=1.982
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%=1.982/0.83
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 1.982

100%/x%=1.982/0.83
(100/x)*x=(1.982/0.83)*x       - we multiply both sides of the equation by x
100=2.3879518072289*x       - we divide both sides of the equation by (2.3879518072289) to get x
100/2.3879518072289=x
41.876892028254=x
x=41.876892028254

now we have:
0.83 is 41.876892028254% of 1.982