34942.48 is what percent of 380234.11 - 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 380234.11 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 380234.11, so we can write it down as 100%=380234.11.
4. We know, that x% equals 34942.48 of the output value, so we can write it down as x%=34942.48.
5. Now we have two simple equations:
1) 100%=380234.11
2) x%=34942.48
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%=380234.11/34942.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34942.48 is what percent of 380234.11

100%/x%=380234.11/34942.48
(100/x)*x=(380234.11/34942.48)*x       - we multiply both sides of the equation by x
100=10.881715035681*x       - we divide both sides of the equation by (10.881715035681) to get x
100/10.881715035681=x
9.1897278758079=x
x=9.1897278758079

now we have:
34942.48 is 9.1897278758079% of 380234.11