48.9 is what percent of 867.771 - 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 867.771 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 867.771, so we can write it down as 100%=867.771.
4. We know, that x% equals 48.9 of the output value, so we can write it down as x%=48.9.
5. Now we have two simple equations:
1) 100%=867.771
2) x%=48.9
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%=867.771/48.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.9 is what percent of 867.771

100%/x%=867.771/48.9
(100/x)*x=(867.771/48.9)*x       - we multiply both sides of the equation by x
100=17.745828220859*x       - we divide both sides of the equation by (17.745828220859) to get x
100/17.745828220859=x
5.6351272397902=x
x=5.6351272397902

now we have:
48.9 is 5.6351272397902% of 867.771