What is 69 percent of 564.87 - 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 564.87 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 564.87 is 100%, so we can write it down as 564.87=100%.
4. We know, that x is 69% of the output value, so we can write it down as x=69%.
5. Now we have two simple equations:
1) 564.87=100%
2) x=69%
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:
564.87/x=100%/69%
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% of 564.87

564.87/x=100/69
(564.87/x)*x=(100/69)*x       - we multiply both sides of the equation by x
564.87=1.4492753623188*x       - we divide both sides of the equation by (1.4492753623188) to get x
564.87/1.4492753623188=x
389.7603=x
x=389.7603

now we have:
69% of 564.87=389.7603