31.39 is what percent of 177.6 - 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 177.6 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 177.6, so we can write it down as 100%=177.6.
4. We know, that x% equals 31.39 of the output value, so we can write it down as x%=31.39.
5. Now we have two simple equations:
1) 100%=177.6
2) x%=31.39
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%=177.6/31.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.39 is what percent of 177.6

100%/x%=177.6/31.39
(100/x)*x=(177.6/31.39)*x       - we multiply both sides of the equation by x
100=5.6578528193692*x       - we divide both sides of the equation by (5.6578528193692) to get x
100/5.6578528193692=x
17.67454954955=x
x=17.67454954955

now we have:
31.39 is 17.67454954955% of 177.6