77 is what percent of 3492 - 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 3492 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 3492, so we can write it down as 100%=3492.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=3492
2) x%=77
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%=3492/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 3492

100%/x%=3492/77
(100/x)*x=(3492/77)*x       - we multiply both sides of the equation by x
100=45.350649350649*x       - we divide both sides of the equation by (45.350649350649) to get x
100/45.350649350649=x
2.205040091638=x
x=2.205040091638

now we have:
77 is 2.205040091638% of 3492