What is 63.3 percent of 55.52 - 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 55.52 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 55.52 is 100%, so we can write it down as 55.52=100%.
4. We know, that x is 63.3% of the output value, so we can write it down as x=63.3%.
5. Now we have two simple equations:
1) 55.52=100%
2) x=63.3%
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:
55.52/x=100%/63.3%
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 63.3% of 55.52

55.52/x=100/63.3
(55.52/x)*x=(100/63.3)*x       - we multiply both sides of the equation by x
55.52=1.5797788309637*x       - we divide both sides of the equation by (1.5797788309637) to get x
55.52/1.5797788309637=x
35.14416=x
x=35.14416

now we have:
63.3% of 55.52=35.14416