364.1 is what percent of 410 - 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 410 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 410, so we can write it down as 100%=410.
4. We know, that x% equals 364.1 of the output value, so we can write it down as x%=364.1.
5. Now we have two simple equations:
1) 100%=410
2) x%=364.1
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%=410/364.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.1 is what percent of 410

100%/x%=410/364.1
(100/x)*x=(410/364.1)*x       - we multiply both sides of the equation by x
100=1.1260642680582*x       - we divide both sides of the equation by (1.1260642680582) to get x
100/1.1260642680582=x
88.80487804878=x
x=88.80487804878

now we have:
364.1 is 88.80487804878% of 410