What is 1566 percent of 7500 - 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 7500 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 7500 is 100%, so we can write it down as 7500=100%.
4. We know, that x is 1566% of the output value, so we can write it down as x=1566%.
5. Now we have two simple equations:
1) 7500=100%
2) x=1566%
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:
7500/x=100%/1566%
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 1566% of 7500

7500/x=100/1566
(7500/x)*x=(100/1566)*x       - we multiply both sides of the equation by x
7500=0.063856960408685*x       - we divide both sides of the equation by (0.063856960408685) to get x
7500/0.063856960408685=x
117450=x
x=117450

now we have:
1566% of 7500=117450