98.2 is what percent of 103.18 - 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 103.18 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 103.18, so we can write it down as 100%=103.18.
4. We know, that x% equals 98.2 of the output value, so we can write it down as x%=98.2.
5. Now we have two simple equations:
1) 100%=103.18
2) x%=98.2
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%=103.18/98.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.2 is what percent of 103.18

100%/x%=103.18/98.2
(100/x)*x=(103.18/98.2)*x       - we multiply both sides of the equation by x
100=1.0507128309572*x       - we divide both sides of the equation by (1.0507128309572) to get x
100/1.0507128309572=x
95.173483233185=x
x=95.173483233185

now we have:
98.2 is 95.173483233185% of 103.18