41296.76 is what percent of 167959.6 - 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 167959.6 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 167959.6, so we can write it down as 100%=167959.6.
4. We know, that x% equals 41296.76 of the output value, so we can write it down as x%=41296.76.
5. Now we have two simple equations:
1) 100%=167959.6
2) x%=41296.76
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%=167959.6/41296.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41296.76 is what percent of 167959.6

100%/x%=167959.6/41296.76
(100/x)*x=(167959.6/41296.76)*x       - we multiply both sides of the equation by x
100=4.0671374703488*x       - we divide both sides of the equation by (4.0671374703488) to get x
100/4.0671374703488=x
24.587317426333=x
x=24.587317426333

now we have:
41296.76 is 24.587317426333% of 167959.6