10 is what percent of 30791 - 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 30791 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 30791, so we can write it down as 100%=30791.
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%=30791
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%=30791/10
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 30791

100%/x%=30791/10
(100/x)*x=(30791/10)*x       - we multiply both sides of the equation by x
100=3079.1*x       - we divide both sides of the equation by (3079.1) to get x
100/3079.1=x
0.032477022506577=x
x=0.032477022506577

now we have:
10 is 0.032477022506577% of 30791