338.4 is what percent of 374.7 - 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 374.7 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 374.7, so we can write it down as 100%=374.7.
4. We know, that x% equals 338.4 of the output value, so we can write it down as x%=338.4.
5. Now we have two simple equations:
1) 100%=374.7
2) x%=338.4
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%=374.7/338.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.4 is what percent of 374.7

100%/x%=374.7/338.4
(100/x)*x=(374.7/338.4)*x       - we multiply both sides of the equation by x
100=1.1072695035461*x       - we divide both sides of the equation by (1.1072695035461) to get x
100/1.1072695035461=x
90.31224979984=x
x=90.31224979984

now we have:
338.4 is 90.31224979984% of 374.7