What is 37.64 percent of 530 - 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 530 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 530 is 100%, so we can write it down as 530=100%.
4. We know, that x is 37.64% of the output value, so we can write it down as x=37.64%.
5. Now we have two simple equations:
1) 530=100%
2) x=37.64%
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:
530/x=100%/37.64%
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 37.64% of 530

530/x=100/37.64
(530/x)*x=(100/37.64)*x       - we multiply both sides of the equation by x
530=2.6567481402763*x       - we divide both sides of the equation by (2.6567481402763) to get x
530/2.6567481402763=x
199.492=x
x=199.492

now we have:
37.64% of 530=199.492