0.98 is what percent of 2.12 - 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 2.12 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 2.12, so we can write it down as 100%=2.12.
4. We know, that x% equals 0.98 of the output value, so we can write it down as x%=0.98.
5. Now we have two simple equations:
1) 100%=2.12
2) x%=0.98
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%=2.12/0.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.98 is what percent of 2.12

100%/x%=2.12/0.98
(100/x)*x=(2.12/0.98)*x       - we multiply both sides of the equation by x
100=2.1632653061224*x       - we divide both sides of the equation by (2.1632653061224) to get x
100/2.1632653061224=x
46.22641509434=x
x=46.22641509434

now we have:
0.98 is 46.22641509434% of 2.12