What is 65 percent of 0.7875 - 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 0.7875 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 0.7875 is 100%, so we can write it down as 0.7875=100%.
4. We know, that x is 65% of the output value, so we can write it down as x=65%.
5. Now we have two simple equations:
1) 0.7875=100%
2) x=65%
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:
0.7875/x=100%/65%
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 65% of 0.7875

0.7875/x=100/65
(0.7875/x)*x=(100/65)*x       - we multiply both sides of the equation by x
0.7875=1.5384615384615*x       - we divide both sides of the equation by (1.5384615384615) to get x
0.7875/1.5384615384615=x
0.511875=x
x=0.511875

now we have:
65% of 0.7875=0.511875