79.9 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 79.9 of the output value, so we can write it down as x%=79.9.
5. Now we have two simple equations:
1) 100%=98
2) x%=79.9
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%=98/79.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.9 is what percent of 98

100%/x%=98/79.9
(100/x)*x=(98/79.9)*x       - we multiply both sides of the equation by x
100=1.2265331664581*x       - we divide both sides of the equation by (1.2265331664581) to get x
100/1.2265331664581=x
81.530612244898=x
x=81.530612244898

now we have:
79.9 is 81.530612244898% of 98