What is 2.142 percent of 35.7 - 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 35.7 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 35.7 is 100%, so we can write it down as 35.7=100%.
4. We know, that x is 2.142% of the output value, so we can write it down as x=2.142%.
5. Now we have two simple equations:
1) 35.7=100%
2) x=2.142%
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:
35.7/x=100%/2.142%
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 2.142% of 35.7

35.7/x=100/2.142
(35.7/x)*x=(100/2.142)*x       - we multiply both sides of the equation by x
35.7=46.685340802988*x       - we divide both sides of the equation by (46.685340802988) to get x
35.7/46.685340802988=x
0.764694=x
x=0.764694

now we have:
2.142% of 35.7=0.764694