5.99 is what percent of 8.19 - 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 8.19 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 8.19, so we can write it down as 100%=8.19.
4. We know, that x% equals 5.99 of the output value, so we can write it down as x%=5.99.
5. Now we have two simple equations:
1) 100%=8.19
2) x%=5.99
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%=8.19/5.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.99 is what percent of 8.19

100%/x%=8.19/5.99
(100/x)*x=(8.19/5.99)*x       - we multiply both sides of the equation by x
100=1.3672787979967*x       - we divide both sides of the equation by (1.3672787979967) to get x
100/1.3672787979967=x
73.137973137973=x
x=73.137973137973

now we have:
5.99 is 73.137973137973% of 8.19