31.5 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 31.5 of the output value, so we can write it down as x%=31.5.
5. Now we have two simple equations:
1) 100%=177
2) x%=31.5
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%=177/31.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.5 is what percent of 177

100%/x%=177/31.5
(100/x)*x=(177/31.5)*x       - we multiply both sides of the equation by x
100=5.6190476190476*x       - we divide both sides of the equation by (5.6190476190476) to get x
100/5.6190476190476=x
17.796610169492=x
x=17.796610169492

now we have:
31.5 is 17.796610169492% of 177