40.74 is what percent of 533.9 - 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 533.9 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 533.9, so we can write it down as 100%=533.9.
4. We know, that x% equals 40.74 of the output value, so we can write it down as x%=40.74.
5. Now we have two simple equations:
1) 100%=533.9
2) x%=40.74
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%=533.9/40.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.74 is what percent of 533.9

100%/x%=533.9/40.74
(100/x)*x=(533.9/40.74)*x       - we multiply both sides of the equation by x
100=13.105056455572*x       - we divide both sides of the equation by (13.105056455572) to get x
100/13.105056455572=x
7.6306424424049=x
x=7.6306424424049

now we have:
40.74 is 7.6306424424049% of 533.9