535.48 is what percent of 892.5 - 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 892.5 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 892.5, so we can write it down as 100%=892.5.
4. We know, that x% equals 535.48 of the output value, so we can write it down as x%=535.48.
5. Now we have two simple equations:
1) 100%=892.5
2) x%=535.48
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%=892.5/535.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 535.48 is what percent of 892.5

100%/x%=892.5/535.48
(100/x)*x=(892.5/535.48)*x       - we multiply both sides of the equation by x
100=1.6667289161126*x       - we divide both sides of the equation by (1.6667289161126) to get x
100/1.6667289161126=x
59.997759103641=x
x=59.997759103641

now we have:
535.48 is 59.997759103641% of 892.5