540.63 is what percent of 11550 - 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 11550 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 11550, so we can write it down as 100%=11550.
4. We know, that x% equals 540.63 of the output value, so we can write it down as x%=540.63.
5. Now we have two simple equations:
1) 100%=11550
2) x%=540.63
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%=11550/540.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 540.63 is what percent of 11550

100%/x%=11550/540.63
(100/x)*x=(11550/540.63)*x       - we multiply both sides of the equation by x
100=21.363964263914*x       - we divide both sides of the equation by (21.363964263914) to get x
100/21.363964263914=x
4.6807792207792=x
x=4.6807792207792

now we have:
540.63 is 4.6807792207792% of 11550