What is 71.153846153846 percent of 52 - 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 52 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 52 is 100%, so we can write it down as 52=100%.
4. We know, that x is 71.153846153846% of the output value, so we can write it down as x=71.153846153846%.
5. Now we have two simple equations:
1) 52=100%
2) x=71.153846153846%
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:
52/x=100%/71.153846153846%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 71.153846153846% of 52

52/x=100/71.153846153846
(52/x)*x=(100/71.153846153846)*x       - we multiply both sides of the equation by x
52=1.4054054054054*x       - we divide both sides of the equation by (1.4054054054054) to get x
52/1.4054054054054=x
37=x
x=37

now we have:
71.153846153846% of 52=37