71029.46 is what percent of 301991.6 - 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 301991.6 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 301991.6, so we can write it down as 100%=301991.6.
4. We know, that x% equals 71029.46 of the output value, so we can write it down as x%=71029.46.
5. Now we have two simple equations:
1) 100%=301991.6
2) x%=71029.46
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%=301991.6/71029.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71029.46 is what percent of 301991.6

100%/x%=301991.6/71029.46
(100/x)*x=(301991.6/71029.46)*x       - we multiply both sides of the equation by x
100=4.2516386862578*x       - we divide both sides of the equation by (4.2516386862578) to get x
100/4.2516386862578=x
23.520342949936=x
x=23.520342949936

now we have:
71029.46 is 23.520342949936% of 301991.6