49.76 is what percent of 876.12 - 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 876.12 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 876.12, so we can write it down as 100%=876.12.
4. We know, that x% equals 49.76 of the output value, so we can write it down as x%=49.76.
5. Now we have two simple equations:
1) 100%=876.12
2) x%=49.76
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%=876.12/49.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.76 is what percent of 876.12

100%/x%=876.12/49.76
(100/x)*x=(876.12/49.76)*x       - we multiply both sides of the equation by x
100=17.60691318328*x       - we divide both sides of the equation by (17.60691318328) to get x
100/17.60691318328=x
5.6795872711501=x
x=5.6795872711501

now we have:
49.76 is 5.6795872711501% of 876.12