38 is what percent of 56.95 - 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 56.95 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 56.95, so we can write it down as 100%=56.95.
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%=56.95
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%=56.95/38
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 56.95

100%/x%=56.95/38
(100/x)*x=(56.95/38)*x       - we multiply both sides of the equation by x
100=1.4986842105263*x       - we divide both sides of the equation by (1.4986842105263) to get x
100/1.4986842105263=x
66.725197541703=x
x=66.725197541703

now we have:
38 is 66.725197541703% of 56.95