35 is what percent of 2577 - 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 2577 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 2577, so we can write it down as 100%=2577.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=2577
2) x%=35
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%=2577/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 2577

100%/x%=2577/35
(100/x)*x=(2577/35)*x       - we multiply both sides of the equation by x
100=73.628571428571*x       - we divide both sides of the equation by (73.628571428571) to get x
100/73.628571428571=x
1.3581684128832=x
x=1.3581684128832

now we have:
35 is 1.3581684128832% of 2577