98.33 is what percent of 342.63 - 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 342.63 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 342.63, so we can write it down as 100%=342.63.
4. We know, that x% equals 98.33 of the output value, so we can write it down as x%=98.33.
5. Now we have two simple equations:
1) 100%=342.63
2) x%=98.33
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%=342.63/98.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.33 is what percent of 342.63

100%/x%=342.63/98.33
(100/x)*x=(342.63/98.33)*x       - we multiply both sides of the equation by x
100=3.4844909996949*x       - we divide both sides of the equation by (3.4844909996949) to get x
100/3.4844909996949=x
28.698596153285=x
x=28.698596153285

now we have:
98.33 is 28.698596153285% of 342.63