34 is what percent of 10660 - 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 10660 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 10660, so we can write it down as 100%=10660.
4. We know, that x% equals 34 of the output value, so we can write it down as x%=34.
5. Now we have two simple equations:
1) 100%=10660
2) x%=34
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%=10660/34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34 is what percent of 10660

100%/x%=10660/34
(100/x)*x=(10660/34)*x       - we multiply both sides of the equation by x
100=313.52941176471*x       - we divide both sides of the equation by (313.52941176471) to get x
100/313.52941176471=x
0.31894934333959=x
x=0.31894934333959

now we have:
34 is 0.31894934333959% of 10660