5.84 is what percent of 5.32 - 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 5.32 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 5.32, so we can write it down as 100%=5.32.
4. We know, that x% equals 5.84 of the output value, so we can write it down as x%=5.84.
5. Now we have two simple equations:
1) 100%=5.32
2) x%=5.84
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%=5.32/5.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.84 is what percent of 5.32

100%/x%=5.32/5.84
(100/x)*x=(5.32/5.84)*x       - we multiply both sides of the equation by x
100=0.91095890410959*x       - we divide both sides of the equation by (0.91095890410959) to get x
100/0.91095890410959=x
109.77443609023=x
x=109.77443609023

now we have:
5.84 is 109.77443609023% of 5.32