182.45 is what percent of 945.46 - 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 945.46 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 945.46, so we can write it down as 100%=945.46.
4. We know, that x% equals 182.45 of the output value, so we can write it down as x%=182.45.
5. Now we have two simple equations:
1) 100%=945.46
2) x%=182.45
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%=945.46/182.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 182.45 is what percent of 945.46

100%/x%=945.46/182.45
(100/x)*x=(945.46/182.45)*x       - we multiply both sides of the equation by x
100=5.1820224719101*x       - we divide both sides of the equation by (5.1820224719101) to get x
100/5.1820224719101=x
19.297484822203=x
x=19.297484822203

now we have:
182.45 is 19.297484822203% of 945.46