What is 69.8 percent of 56.45 - 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 56.45 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 56.45 is 100%, so we can write it down as 56.45=100%.
4. We know, that x is 69.8% of the output value, so we can write it down as x=69.8%.
5. Now we have two simple equations:
1) 56.45=100%
2) x=69.8%
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:
56.45/x=100%/69.8%
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 69.8% of 56.45

56.45/x=100/69.8
(56.45/x)*x=(100/69.8)*x       - we multiply both sides of the equation by x
56.45=1.432664756447*x       - we divide both sides of the equation by (1.432664756447) to get x
56.45/1.432664756447=x
39.4021=x
x=39.4021

now we have:
69.8% of 56.45=39.4021