116.25 is what percent of 177 - 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 177 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 177, so we can write it down as 100%=177.
4. We know, that x% equals 116.25 of the output value, so we can write it down as x%=116.25.
5. Now we have two simple equations:
1) 100%=177
2) x%=116.25
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%=177/116.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.25 is what percent of 177

100%/x%=177/116.25
(100/x)*x=(177/116.25)*x       - we multiply both sides of the equation by x
100=1.5225806451613*x       - we divide both sides of the equation by (1.5225806451613) to get x
100/1.5225806451613=x
65.677966101695=x
x=65.677966101695

now we have:
116.25 is 65.677966101695% of 177