38 is what percent of 3974 - 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 3974 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 3974, so we can write it down as 100%=3974.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=3974
2) x%=38
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%=3974/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 3974

100%/x%=3974/38
(100/x)*x=(3974/38)*x       - we multiply both sides of the equation by x
100=104.57894736842*x       - we divide both sides of the equation by (104.57894736842) to get x
100/104.57894736842=x
0.95621540010065=x
x=0.95621540010065

now we have:
38 is 0.95621540010065% of 3974