178.92 is what percent of 817.92 - 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 817.92 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 817.92, so we can write it down as 100%=817.92.
4. We know, that x% equals 178.92 of the output value, so we can write it down as x%=178.92.
5. Now we have two simple equations:
1) 100%=817.92
2) x%=178.92
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%=817.92/178.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.92 is what percent of 817.92

100%/x%=817.92/178.92
(100/x)*x=(817.92/178.92)*x       - we multiply both sides of the equation by x
100=4.5714285714286*x       - we divide both sides of the equation by (4.5714285714286) to get x
100/4.5714285714286=x
21.875=x
x=21.875

now we have:
178.92 is 21.875% of 817.92