379.4 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 379.4 of the output value, so we can write it down as x%=379.4.
5. Now we have two simple equations:
1) 100%=410
2) x%=379.4
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%=410/379.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.4 is what percent of 410

100%/x%=410/379.4
(100/x)*x=(410/379.4)*x       - we multiply both sides of the equation by x
100=1.0806536636795*x       - we divide both sides of the equation by (1.0806536636795) to get x
100/1.0806536636795=x
92.536585365854=x
x=92.536585365854

now we have:
379.4 is 92.536585365854% of 410