182.04 is what percent of 490 - 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 490 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 490, so we can write it down as 100%=490.
4. We know, that x% equals 182.04 of the output value, so we can write it down as x%=182.04.
5. Now we have two simple equations:
1) 100%=490
2) x%=182.04
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%=490/182.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 182.04 is what percent of 490

100%/x%=490/182.04
(100/x)*x=(490/182.04)*x       - we multiply both sides of the equation by x
100=2.6917161063503*x       - we divide both sides of the equation by (2.6917161063503) to get x
100/2.6917161063503=x
37.151020408163=x
x=37.151020408163

now we have:
182.04 is 37.151020408163% of 490