What is 76.1875 percent of 840 - 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 840 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 840 is 100%, so we can write it down as 840=100%.
4. We know, that x is 76.1875% of the output value, so we can write it down as x=76.1875%.
5. Now we have two simple equations:
1) 840=100%
2) x=76.1875%
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:
840/x=100%/76.1875%
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 76.1875% of 840

840/x=100/76.1875
(840/x)*x=(100/76.1875)*x       - we multiply both sides of the equation by x
840=1.312551271534*x       - we divide both sides of the equation by (1.312551271534) to get x
840/1.312551271534=x
639.975=x
x=639.975

now we have:
76.1875% of 840=639.975