What is 19.6 percent of 215.7 - 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 215.7 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 215.7 is 100%, so we can write it down as 215.7=100%.
4. We know, that x is 19.6% of the output value, so we can write it down as x=19.6%.
5. Now we have two simple equations:
1) 215.7=100%
2) x=19.6%
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:
215.7/x=100%/19.6%
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 19.6% of 215.7

215.7/x=100/19.6
(215.7/x)*x=(100/19.6)*x       - we multiply both sides of the equation by x
215.7=5.1020408163265*x       - we divide both sides of the equation by (5.1020408163265) to get x
215.7/5.1020408163265=x
42.2772=x
x=42.2772

now we have:
19.6% of 215.7=42.2772