76.6 is what percent of 400.6 - 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 400.6 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 400.6, so we can write it down as 100%=400.6.
4. We know, that x% equals 76.6 of the output value, so we can write it down as x%=76.6.
5. Now we have two simple equations:
1) 100%=400.6
2) x%=76.6
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%=400.6/76.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.6 is what percent of 400.6

100%/x%=400.6/76.6
(100/x)*x=(400.6/76.6)*x       - we multiply both sides of the equation by x
100=5.2297650130548*x       - we divide both sides of the equation by (5.2297650130548) to get x
100/5.2297650130548=x
19.121318022966=x
x=19.121318022966

now we have:
76.6 is 19.121318022966% of 400.6