78.99 is what percent of 2.01 - 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 2.01 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 2.01, so we can write it down as 100%=2.01.
4. We know, that x% equals 78.99 of the output value, so we can write it down as x%=78.99.
5. Now we have two simple equations:
1) 100%=2.01
2) x%=78.99
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%=2.01/78.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.99 is what percent of 2.01

100%/x%=2.01/78.99
(100/x)*x=(2.01/78.99)*x       - we multiply both sides of the equation by x
100=0.025446259020129*x       - we divide both sides of the equation by (0.025446259020129) to get x
100/0.025446259020129=x
3929.8507462687=x
x=3929.8507462687

now we have:
78.99 is 3929.8507462687% of 2.01