58.2 is what percent of 59.6 - 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 59.6 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 59.6, so we can write it down as 100%=59.6.
4. We know, that x% equals 58.2 of the output value, so we can write it down as x%=58.2.
5. Now we have two simple equations:
1) 100%=59.6
2) x%=58.2
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%=59.6/58.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.2 is what percent of 59.6

100%/x%=59.6/58.2
(100/x)*x=(59.6/58.2)*x       - we multiply both sides of the equation by x
100=1.0240549828179*x       - we divide both sides of the equation by (1.0240549828179) to get x
100/1.0240549828179=x
97.651006711409=x
x=97.651006711409

now we have:
58.2 is 97.651006711409% of 59.6