49.85 is what percent of 540 - 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 540 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 540, so we can write it down as 100%=540.
4. We know, that x% equals 49.85 of the output value, so we can write it down as x%=49.85.
5. Now we have two simple equations:
1) 100%=540
2) x%=49.85
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%=540/49.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.85 is what percent of 540

100%/x%=540/49.85
(100/x)*x=(540/49.85)*x       - we multiply both sides of the equation by x
100=10.832497492477*x       - we divide both sides of the equation by (10.832497492477) to get x
100/10.832497492477=x
9.2314814814815=x
x=9.2314814814815

now we have:
49.85 is 9.2314814814815% of 540