What is 2.258 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 2.258% of the output value, so we can write it down as x=2.258%.
5. Now we have two simple equations:
1) 784=100%
2) x=2.258%
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%/2.258%
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 2.258% of 784

784/x=100/2.258
(784/x)*x=(100/2.258)*x       - we multiply both sides of the equation by x
784=44.286979627989*x       - we divide both sides of the equation by (44.286979627989) to get x
784/44.286979627989=x
17.70272=x
x=17.70272

now we have:
2.258% of 784=17.70272