10 is what percent of 7917 - 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 7917 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 7917, so we can write it down as 100%=7917.
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%=7917
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%=7917/10
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 7917

100%/x%=7917/10
(100/x)*x=(7917/10)*x       - we multiply both sides of the equation by x
100=791.7*x       - we divide both sides of the equation by (791.7) to get x
100/791.7=x
0.12631047113806=x
x=0.12631047113806

now we have:
10 is 0.12631047113806% of 7917