38.7 is what percent of 264.2 - 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 264.2 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 264.2, so we can write it down as 100%=264.2.
4. We know, that x% equals 38.7 of the output value, so we can write it down as x%=38.7.
5. Now we have two simple equations:
1) 100%=264.2
2) x%=38.7
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%=264.2/38.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.7 is what percent of 264.2

100%/x%=264.2/38.7
(100/x)*x=(264.2/38.7)*x       - we multiply both sides of the equation by x
100=6.8268733850129*x       - we divide both sides of the equation by (6.8268733850129) to get x
100/6.8268733850129=x
14.647993943982=x
x=14.647993943982

now we have:
38.7 is 14.647993943982% of 264.2