46.16 is what percent of 77.12 - 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 77.12 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 77.12, so we can write it down as 100%=77.12.
4. We know, that x% equals 46.16 of the output value, so we can write it down as x%=46.16.
5. Now we have two simple equations:
1) 100%=77.12
2) x%=46.16
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%=77.12/46.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.16 is what percent of 77.12

100%/x%=77.12/46.16
(100/x)*x=(77.12/46.16)*x       - we multiply both sides of the equation by x
100=1.6707105719237*x       - we divide both sides of the equation by (1.6707105719237) to get x
100/1.6707105719237=x
59.854771784232=x
x=59.854771784232

now we have:
46.16 is 59.854771784232% of 77.12