492.4 is what percent of 1355 - 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 1355 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 1355, so we can write it down as 100%=1355.
4. We know, that x% equals 492.4 of the output value, so we can write it down as x%=492.4.
5. Now we have two simple equations:
1) 100%=1355
2) x%=492.4
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:
100%/x%=1355/492.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 492.4 is what percent of 1355

100%/x%=1355/492.4
(100/x)*x=(1355/492.4)*x       - we multiply both sides of the equation by x
100=2.7518277822908*x       - we divide both sides of the equation by (2.7518277822908) to get x
100/2.7518277822908=x
36.339483394834=x
x=36.339483394834

now we have:
492.4 is 36.339483394834% of 1355