4.9 is what percent of 98.6 - 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 98.6 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 98.6, so we can write it down as 100%=98.6.
4. We know, that x% equals 4.9 of the output value, so we can write it down as x%=4.9.
5. Now we have two simple equations:
1) 100%=98.6
2) x%=4.9
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%=98.6/4.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.9 is what percent of 98.6

100%/x%=98.6/4.9
(100/x)*x=(98.6/4.9)*x       - we multiply both sides of the equation by x
100=20.122448979592*x       - we divide both sides of the equation by (20.122448979592) to get x
100/20.122448979592=x
4.9695740365112=x
x=4.9695740365112

now we have:
4.9 is 4.9695740365112% of 98.6