49.01 is what percent of 868 - 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 868 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 868, so we can write it down as 100%=868.
4. We know, that x% equals 49.01 of the output value, so we can write it down as x%=49.01.
5. Now we have two simple equations:
1) 100%=868
2) x%=49.01
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%=868/49.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.01 is what percent of 868

100%/x%=868/49.01
(100/x)*x=(868/49.01)*x       - we multiply both sides of the equation by x
100=17.710671291573*x       - we divide both sides of the equation by (17.710671291573) to get x
100/17.710671291573=x
5.6463133640553=x
x=5.6463133640553

now we have:
49.01 is 5.6463133640553% of 868