75.84 is what percent of 137.02 - 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 137.02 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 137.02, so we can write it down as 100%=137.02.
4. We know, that x% equals 75.84 of the output value, so we can write it down as x%=75.84.
5. Now we have two simple equations:
1) 100%=137.02
2) x%=75.84
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%=137.02/75.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.84 is what percent of 137.02

100%/x%=137.02/75.84
(100/x)*x=(137.02/75.84)*x       - we multiply both sides of the equation by x
100=1.8066983122363*x       - we divide both sides of the equation by (1.8066983122363) to get x
100/1.8066983122363=x
55.349584002335=x
x=55.349584002335

now we have:
75.84 is 55.349584002335% of 137.02