What is 10.48461438 percent of 532.89 - 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 532.89 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 532.89 is 100%, so we can write it down as 532.89=100%.
4. We know, that x is 10.48461438% of the output value, so we can write it down as x=10.48461438%.
5. Now we have two simple equations:
1) 532.89=100%
2) x=10.48461438%
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:
532.89/x=100%/10.48461438%
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 10.48461438% of 532.89

532.89/x=100/10.48461438
(532.89/x)*x=(100/10.48461438)*x       - we multiply both sides of the equation by x
532.89=9.5377852132317*x       - we divide both sides of the equation by (9.5377852132317) to get x
532.89/9.5377852132317=x
55.871461569582=x
x=55.871461569582

now we have:
10.48461438% of 532.89=55.871461569582