493.01 is what percent of 1350.75 - 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 1350.75 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 100% equals 1350.75, so we can write it down as 100%=1350.75.
4. We know, that x% equals 493.01 of the output value, so we can write it down as x%=493.01.
5. Now we have two simple equations:
1) 100%=1350.75
2) x%=493.01
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:
100%/x%=1350.75/493.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 493.01 is what percent of 1350.75

100%/x%=1350.75/493.01
(100/x)*x=(1350.75/493.01)*x       - we multiply both sides of the equation by x
100=2.7398024380844*x       - we divide both sides of the equation by (2.7398024380844) to get x
100/2.7398024380844=x
36.498982047011=x
x=36.498982047011

now we have:
493.01 is 36.498982047011% of 1350.75