What is 70 percent of 0.784 - 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 0.784 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 0.784 is 100%, so we can write it down as 0.784=100%.
4. We know, that x is 70% of the output value, so we can write it down as x=70%.
5. Now we have two simple equations:
1) 0.784=100%
2) x=70%
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:
0.784/x=100%/70%
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 70% of 0.784

0.784/x=100/70
(0.784/x)*x=(100/70)*x       - we multiply both sides of the equation by x
0.784=1.4285714285714*x       - we divide both sides of the equation by (1.4285714285714) to get x
0.784/1.4285714285714=x
0.5488=x
x=0.5488

now we have:
70% of 0.784=0.5488