40.51 is what percent of 674.95 - 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 674.95 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 100% equals 674.95, so we can write it down as 100%=674.95.
4. We know, that x% equals 40.51 of the output value, so we can write it down as x%=40.51.
5. Now we have two simple equations:
1) 100%=674.95
2) x%=40.51
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%=674.95/40.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.51 is what percent of 674.95

100%/x%=674.95/40.51
(100/x)*x=(674.95/40.51)*x       - we multiply both sides of the equation by x
100=16.661318193039*x       - we divide both sides of the equation by (16.661318193039) to get x
100/16.661318193039=x
6.0019260685977=x
x=6.0019260685977

now we have:
40.51 is 6.0019260685977% of 674.95