What is 6.14 percent of 1402.5 - 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 1402.5 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 1402.5 is 100%, so we can write it down as 1402.5=100%.
4. We know, that x is 6.14% of the output value, so we can write it down as x=6.14%.
5. Now we have two simple equations:
1) 1402.5=100%
2) x=6.14%
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:
1402.5/x=100%/6.14%
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 6.14% of 1402.5

1402.5/x=100/6.14
(1402.5/x)*x=(100/6.14)*x       - we multiply both sides of the equation by x
1402.5=16.28664495114*x       - we divide both sides of the equation by (16.28664495114) to get x
1402.5/16.28664495114=x
86.1135=x
x=86.1135

now we have:
6.14% of 1402.5=86.1135