What is 1.06 percent of 513 - 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 513 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 513 is 100%, so we can write it down as 513=100%.
4. We know, that x is 1.06% of the output value, so we can write it down as x=1.06%.
5. Now we have two simple equations:
1) 513=100%
2) x=1.06%
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:
513/x=100%/1.06%
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 1.06% of 513

513/x=100/1.06
(513/x)*x=(100/1.06)*x       - we multiply both sides of the equation by x
513=94.339622641509*x       - we divide both sides of the equation by (94.339622641509) to get x
513/94.339622641509=x
5.4378=x
x=5.4378

now we have:
1.06% of 513=5.4378