What is 40.22 percent of 870 - 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 870 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 870 is 100%, so we can write it down as 870=100%.
4. We know, that x is 40.22% of the output value, so we can write it down as x=40.22%.
5. Now we have two simple equations:
1) 870=100%
2) x=40.22%
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:
870/x=100%/40.22%
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 40.22% of 870

870/x=100/40.22
(870/x)*x=(100/40.22)*x       - we multiply both sides of the equation by x
870=2.4863252113376*x       - we divide both sides of the equation by (2.4863252113376) to get x
870/2.4863252113376=x
349.914=x
x=349.914

now we have:
40.22% of 870=349.914