What is 63.3 percent of 7.5 - 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 7.5 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 7.5 is 100%, so we can write it down as 7.5=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) 7.5=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:
7.5/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 7.5

7.5/x=100/63.3
(7.5/x)*x=(100/63.3)*x       - we multiply both sides of the equation by x
7.5=1.5797788309637*x       - we divide both sides of the equation by (1.5797788309637) to get x
7.5/1.5797788309637=x
4.7475=x
x=4.7475

now we have:
63.3% of 7.5=4.7475