52 is what percent of 5663 - 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 5663 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 5663, so we can write it down as 100%=5663.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=5663
2) x%=52
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%=5663/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 5663

100%/x%=5663/52
(100/x)*x=(5663/52)*x       - we multiply both sides of the equation by x
100=108.90384615385*x       - we divide both sides of the equation by (108.90384615385) to get x
100/108.90384615385=x
0.91824121490376=x
x=0.91824121490376

now we have:
52 is 0.91824121490376% of 5663