74.11 is what percent of 381.74 - 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 381.74 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 381.74, so we can write it down as 100%=381.74.
4. We know, that x% equals 74.11 of the output value, so we can write it down as x%=74.11.
5. Now we have two simple equations:
1) 100%=381.74
2) x%=74.11
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%=381.74/74.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.11 is what percent of 381.74

100%/x%=381.74/74.11
(100/x)*x=(381.74/74.11)*x       - we multiply both sides of the equation by x
100=5.150991768992*x       - we divide both sides of the equation by (5.150991768992) to get x
100/5.150991768992=x
19.413737098549=x
x=19.413737098549

now we have:
74.11 is 19.413737098549% of 381.74