10 is what percent of 19595 - 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 19595 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 19595, so we can write it down as 100%=19595.
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%=19595
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%=19595/10
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 19595

100%/x%=19595/10
(100/x)*x=(19595/10)*x       - we multiply both sides of the equation by x
100=1959.5*x       - we divide both sides of the equation by (1959.5) to get x
100/1959.5=x
0.051033426894616=x
x=0.051033426894616

now we have:
10 is 0.051033426894616% of 19595