6.52 is what percent of 5.99 - 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 5.99 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 5.99, so we can write it down as 100%=5.99.
4. We know, that x% equals 6.52 of the output value, so we can write it down as x%=6.52.
5. Now we have two simple equations:
1) 100%=5.99
2) x%=6.52
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%=5.99/6.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.52 is what percent of 5.99

100%/x%=5.99/6.52
(100/x)*x=(5.99/6.52)*x       - we multiply both sides of the equation by x
100=0.91871165644172*x       - we divide both sides of the equation by (0.91871165644172) to get x
100/0.91871165644172=x
108.84808013356=x
x=108.84808013356

now we have:
6.52 is 108.84808013356% of 5.99