58.93 is what percent of 65.99 - 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 65.99 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 65.99, so we can write it down as 100%=65.99.
4. We know, that x% equals 58.93 of the output value, so we can write it down as x%=58.93.
5. Now we have two simple equations:
1) 100%=65.99
2) x%=58.93
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%=65.99/58.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.93 is what percent of 65.99

100%/x%=65.99/58.93
(100/x)*x=(65.99/58.93)*x       - we multiply both sides of the equation by x
100=1.1198031562871*x       - we divide both sides of the equation by (1.1198031562871) to get x
100/1.1198031562871=x
89.30140930444=x
x=89.30140930444

now we have:
58.93 is 89.30140930444% of 65.99