27824.68 is what percent of 52856.45 - 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 52856.45 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 52856.45, so we can write it down as 100%=52856.45.
4. We know, that x% equals 27824.68 of the output value, so we can write it down as x%=27824.68.
5. Now we have two simple equations:
1) 100%=52856.45
2) x%=27824.68
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%=52856.45/27824.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27824.68 is what percent of 52856.45

100%/x%=52856.45/27824.68
(100/x)*x=(52856.45/27824.68)*x       - we multiply both sides of the equation by x
100=1.89962472165*x       - we divide both sides of the equation by (1.89962472165) to get x
100/1.89962472165=x
52.641976523206=x
x=52.641976523206

now we have:
27824.68 is 52.641976523206% of 52856.45