59.96 is what percent of 109.9 - 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 109.9 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 109.9, so we can write it down as 100%=109.9.
4. We know, that x% equals 59.96 of the output value, so we can write it down as x%=59.96.
5. Now we have two simple equations:
1) 100%=109.9
2) x%=59.96
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%=109.9/59.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.96 is what percent of 109.9

100%/x%=109.9/59.96
(100/x)*x=(109.9/59.96)*x       - we multiply both sides of the equation by x
100=1.8328885923949*x       - we divide both sides of the equation by (1.8328885923949) to get x
100/1.8328885923949=x
54.558689717925=x
x=54.558689717925

now we have:
59.96 is 54.558689717925% of 109.9