0.98 is what percent of 3.95 - 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 3.95 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 3.95, so we can write it down as 100%=3.95.
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%=3.95
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%=3.95/0.98
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 3.95

100%/x%=3.95/0.98
(100/x)*x=(3.95/0.98)*x       - we multiply both sides of the equation by x
100=4.030612244898*x       - we divide both sides of the equation by (4.030612244898) to get x
100/4.030612244898=x
24.810126582278=x
x=24.810126582278

now we have:
0.98 is 24.810126582278% of 3.95