179.8 is what percent of 382.5 - 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 382.5 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 382.5, so we can write it down as 100%=382.5.
4. We know, that x% equals 179.8 of the output value, so we can write it down as x%=179.8.
5. Now we have two simple equations:
1) 100%=382.5
2) x%=179.8
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%=382.5/179.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.8 is what percent of 382.5

100%/x%=382.5/179.8
(100/x)*x=(382.5/179.8)*x       - we multiply both sides of the equation by x
100=2.1273637374861*x       - we divide both sides of the equation by (2.1273637374861) to get x
100/2.1273637374861=x
47.006535947712=x
x=47.006535947712

now we have:
179.8 is 47.006535947712% of 382.5