11.25 is what percent of 10000000 - 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 10000000 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 100% equals 10000000, so we can write it down as 100%=10000000.
4. We know, that x% equals 11.25 of the output value, so we can write it down as x%=11.25.
5. Now we have two simple equations:
1) 100%=10000000
2) x%=11.25
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:
100%/x%=10000000/11.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.25 is what percent of 10000000

100%/x%=10000000/11.25
(100/x)*x=(10000000/11.25)*x       - we multiply both sides of the equation by x
100=888888.88888889*x       - we divide both sides of the equation by (888888.88888889) to get x
100/888888.88888889=x
0.0001125=x
x=0.0001125

now we have:
11.25 is 0.0001125% of 10000000