77.8 is what percent of 172 - 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 172 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 172, so we can write it down as 100%=172.
4. We know, that x% equals 77.8 of the output value, so we can write it down as x%=77.8.
5. Now we have two simple equations:
1) 100%=172
2) x%=77.8
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%=172/77.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.8 is what percent of 172

100%/x%=172/77.8
(100/x)*x=(172/77.8)*x       - we multiply both sides of the equation by x
100=2.2107969151671*x       - we divide both sides of the equation by (2.2107969151671) to get x
100/2.2107969151671=x
45.232558139535=x
x=45.232558139535

now we have:
77.8 is 45.232558139535% of 172