77 is what percent of 2258 - 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 2258 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 2258, so we can write it down as 100%=2258.
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%=2258
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%=2258/77
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 2258

100%/x%=2258/77
(100/x)*x=(2258/77)*x       - we multiply both sides of the equation by x
100=29.324675324675*x       - we divide both sides of the equation by (29.324675324675) to get x
100/29.324675324675=x
3.4100974313552=x
x=3.4100974313552

now we have:
77 is 3.4100974313552% of 2258