40.74 is what percent of 699.72 - 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 699.72 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 699.72, so we can write it down as 100%=699.72.
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%=699.72
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%=699.72/40.74
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 699.72

100%/x%=699.72/40.74
(100/x)*x=(699.72/40.74)*x       - we multiply both sides of the equation by x
100=17.175257731959*x       - we divide both sides of the equation by (17.175257731959) to get x
100/17.175257731959=x
5.8223289315726=x
x=5.8223289315726

now we have:
40.74 is 5.8223289315726% of 699.72