What is 562.5 percent of 11.25 - 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 11.25 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 11.25 is 100%, so we can write it down as 11.25=100%.
4. We know, that x is 562.5% of the output value, so we can write it down as x=562.5%.
5. Now we have two simple equations:
1) 11.25=100%
2) x=562.5%
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:
11.25/x=100%/562.5%
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 562.5% of 11.25

11.25/x=100/562.5
(11.25/x)*x=(100/562.5)*x       - we multiply both sides of the equation by x
11.25=0.17777777777778*x       - we divide both sides of the equation by (0.17777777777778) to get x
11.25/0.17777777777778=x
63.28125=x
x=63.28125

now we have:
562.5% of 11.25=63.28125