31 is what percent of 77 - 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 77 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 77, so we can write it down as 100%=77.
4. We know, that x% equals 31 of the output value, so we can write it down as x%=31.
5. Now we have two simple equations:
1) 100%=77
2) x%=31
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%=77/31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31 is what percent of 77

100%/x%=77/31
(100/x)*x=(77/31)*x       - we multiply both sides of the equation by x
100=2.4838709677419*x       - we divide both sides of the equation by (2.4838709677419) to get x
100/2.4838709677419=x
40.25974025974=x
x=40.25974025974

now we have:
31 is 40.25974025974% of 77