What is 31.3 percent of 493.95 - 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 493.95 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 493.95 is 100%, so we can write it down as 493.95=100%.
4. We know, that x is 31.3% of the output value, so we can write it down as x=31.3%.
5. Now we have two simple equations:
1) 493.95=100%
2) x=31.3%
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:
493.95/x=100%/31.3%
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 31.3% of 493.95

493.95/x=100/31.3
(493.95/x)*x=(100/31.3)*x       - we multiply both sides of the equation by x
493.95=3.1948881789137*x       - we divide both sides of the equation by (3.1948881789137) to get x
493.95/3.1948881789137=x
154.60635=x
x=154.60635

now we have:
31.3% of 493.95=154.60635