What is 7.45 percent of 756.4 - 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 756.4 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 756.4 is 100%, so we can write it down as 756.4=100%.
4. We know, that x is 7.45% of the output value, so we can write it down as x=7.45%.
5. Now we have two simple equations:
1) 756.4=100%
2) x=7.45%
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:
756.4/x=100%/7.45%
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 7.45% of 756.4

756.4/x=100/7.45
(756.4/x)*x=(100/7.45)*x       - we multiply both sides of the equation by x
756.4=13.422818791946*x       - we divide both sides of the equation by (13.422818791946) to get x
756.4/13.422818791946=x
56.3518=x
x=56.3518

now we have:
7.45% of 756.4=56.3518