1.02 is what percent of 1.98 - 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 1.98 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 1.98, so we can write it down as 100%=1.98.
4. We know, that x% equals 1.02 of the output value, so we can write it down as x%=1.02.
5. Now we have two simple equations:
1) 100%=1.98
2) x%=1.02
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%=1.98/1.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.02 is what percent of 1.98

100%/x%=1.98/1.02
(100/x)*x=(1.98/1.02)*x       - we multiply both sides of the equation by x
100=1.9411764705882*x       - we divide both sides of the equation by (1.9411764705882) to get x
100/1.9411764705882=x
51.515151515152=x
x=51.515151515152

now we have:
1.02 is 51.515151515152% of 1.98