10 is what percent of 765.9 - 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 765.9 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 765.9, so we can write it down as 100%=765.9.
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%=765.9
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%=765.9/10
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 765.9

100%/x%=765.9/10
(100/x)*x=(765.9/10)*x       - we multiply both sides of the equation by x
100=76.59*x       - we divide both sides of the equation by (76.59) to get x
100/76.59=x
1.3056534795665=x
x=1.3056534795665

now we have:
10 is 1.3056534795665% of 765.9