10 is what percent of 2635 - 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 2635 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 2635, so we can write it down as 100%=2635.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=2635
2) x%=10
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%=2635/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 2635

100%/x%=2635/10
(100/x)*x=(2635/10)*x       - we multiply both sides of the equation by x
100=263.5*x       - we divide both sides of the equation by (263.5) to get x
100/263.5=x
0.37950664136622=x
x=0.37950664136622

now we have:
10 is 0.37950664136622% of 2635