52.44 is what percent of 861.9 - 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 861.9 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 861.9, so we can write it down as 100%=861.9.
4. We know, that x% equals 52.44 of the output value, so we can write it down as x%=52.44.
5. Now we have two simple equations:
1) 100%=861.9
2) x%=52.44
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%=861.9/52.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.44 is what percent of 861.9

100%/x%=861.9/52.44
(100/x)*x=(861.9/52.44)*x       - we multiply both sides of the equation by x
100=16.435926773455*x       - we divide both sides of the equation by (16.435926773455) to get x
100/16.435926773455=x
6.0842325095719=x
x=6.0842325095719

now we have:
52.44 is 6.0842325095719% of 861.9