77.7 is what percent of 112.4 - 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 112.4 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 112.4, so we can write it down as 100%=112.4.
4. We know, that x% equals 77.7 of the output value, so we can write it down as x%=77.7.
5. Now we have two simple equations:
1) 100%=112.4
2) x%=77.7
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%=112.4/77.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.7 is what percent of 112.4

100%/x%=112.4/77.7
(100/x)*x=(112.4/77.7)*x       - we multiply both sides of the equation by x
100=1.4465894465894*x       - we divide both sides of the equation by (1.4465894465894) to get x
100/1.4465894465894=x
69.128113879004=x
x=69.128113879004

now we have:
77.7 is 69.128113879004% of 112.4