49.99 is what percent of 534.55 - 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 534.55 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 534.55, so we can write it down as 100%=534.55.
4. We know, that x% equals 49.99 of the output value, so we can write it down as x%=49.99.
5. Now we have two simple equations:
1) 100%=534.55
2) x%=49.99
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%=534.55/49.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.99 is what percent of 534.55

100%/x%=534.55/49.99
(100/x)*x=(534.55/49.99)*x       - we multiply both sides of the equation by x
100=10.693138627726*x       - we divide both sides of the equation by (10.693138627726) to get x
100/10.693138627726=x
9.3517912262651=x
x=9.3517912262651

now we have:
49.99 is 9.3517912262651% of 534.55