What is 21.5 percent of 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 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 784 is 100%, so we can write it down as 784=100%.
4. We know, that x is 21.5% of the output value, so we can write it down as x=21.5%.
5. Now we have two simple equations:
1) 784=100%
2) x=21.5%
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:
784/x=100%/21.5%
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 21.5% of 784

784/x=100/21.5
(784/x)*x=(100/21.5)*x       - we multiply both sides of the equation by x
784=4.6511627906977*x       - we divide both sides of the equation by (4.6511627906977) to get x
784/4.6511627906977=x
168.56=x
x=168.56

now we have:
21.5% of 784=168.56