97 is what percent of 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 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 98, so we can write it down as 100%=98.
4. We know, that x% equals 97 of the output value, so we can write it down as x%=97.
5. Now we have two simple equations:
1) 100%=98
2) x%=97
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%=98/97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97 is what percent of 98

100%/x%=98/97
(100/x)*x=(98/97)*x       - we multiply both sides of the equation by x
100=1.0103092783505*x       - we divide both sides of the equation by (1.0103092783505) to get x
100/1.0103092783505=x
98.979591836735=x
x=98.979591836735

now we have:
97 is 98.979591836735% of 98