What is 15.7 percent of 56.9 - 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 56.9 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 56.9 is 100%, so we can write it down as 56.9=100%.
4. We know, that x is 15.7% of the output value, so we can write it down as x=15.7%.
5. Now we have two simple equations:
1) 56.9=100%
2) x=15.7%
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:
56.9/x=100%/15.7%
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 15.7% of 56.9

56.9/x=100/15.7
(56.9/x)*x=(100/15.7)*x       - we multiply both sides of the equation by x
56.9=6.3694267515924*x       - we divide both sides of the equation by (6.3694267515924) to get x
56.9/6.3694267515924=x
8.9333=x
x=8.9333

now we have:
15.7% of 56.9=8.9333