493.44 is what percent of 1170.37 - 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 1170.37 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 1170.37, so we can write it down as 100%=1170.37.
4. We know, that x% equals 493.44 of the output value, so we can write it down as x%=493.44.
5. Now we have two simple equations:
1) 100%=1170.37
2) x%=493.44
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%=1170.37/493.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 493.44 is what percent of 1170.37

100%/x%=1170.37/493.44
(100/x)*x=(1170.37/493.44)*x       - we multiply both sides of the equation by x
100=2.3718587872892*x       - we divide both sides of the equation by (2.3718587872892) to get x
100/2.3718587872892=x
42.161026000325=x
x=42.161026000325

now we have:
493.44 is 42.161026000325% of 1170.37