371.8 is what percent of 375.4 - 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 375.4 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 375.4, so we can write it down as 100%=375.4.
4. We know, that x% equals 371.8 of the output value, so we can write it down as x%=371.8.
5. Now we have two simple equations:
1) 100%=375.4
2) x%=371.8
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%=375.4/371.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 371.8 is what percent of 375.4

100%/x%=375.4/371.8
(100/x)*x=(375.4/371.8)*x       - we multiply both sides of the equation by x
100=1.0096826250672*x       - we divide both sides of the equation by (1.0096826250672) to get x
100/1.0096826250672=x
99.041022908897=x
x=99.041022908897

now we have:
371.8 is 99.041022908897% of 375.4