What is 18.4 percent of 52.95 - 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 52.95 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 52.95 is 100%, so we can write it down as 52.95=100%.
4. We know, that x is 18.4% of the output value, so we can write it down as x=18.4%.
5. Now we have two simple equations:
1) 52.95=100%
2) x=18.4%
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:
52.95/x=100%/18.4%
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 18.4% of 52.95

52.95/x=100/18.4
(52.95/x)*x=(100/18.4)*x       - we multiply both sides of the equation by x
52.95=5.4347826086957*x       - we divide both sides of the equation by (5.4347826086957) to get x
52.95/5.4347826086957=x
9.7428=x
x=9.7428

now we have:
18.4% of 52.95=9.7428