175.34 is what percent of 8959.45 - 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 8959.45 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 8959.45, so we can write it down as 100%=8959.45.
4. We know, that x% equals 175.34 of the output value, so we can write it down as x%=175.34.
5. Now we have two simple equations:
1) 100%=8959.45
2) x%=175.34
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%=8959.45/175.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.34 is what percent of 8959.45

100%/x%=8959.45/175.34
(100/x)*x=(8959.45/175.34)*x       - we multiply both sides of the equation by x
100=51.097581840995*x       - we divide both sides of the equation by (51.097581840995) to get x
100/51.097581840995=x
1.9570397736468=x
x=1.9570397736468

now we have:
175.34 is 1.9570397736468% of 8959.45