What is 5.7 percent of 37.7 - 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 37.7 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 37.7 is 100%, so we can write it down as 37.7=100%.
4. We know, that x is 5.7% of the output value, so we can write it down as x=5.7%.
5. Now we have two simple equations:
1) 37.7=100%
2) x=5.7%
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:
37.7/x=100%/5.7%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.7% of 37.7

37.7/x=100/5.7
(37.7/x)*x=(100/5.7)*x       - we multiply both sides of the equation by x
37.7=17.543859649123*x       - we divide both sides of the equation by (17.543859649123) to get x
37.7/17.543859649123=x
2.1489=x
x=2.1489

now we have:
5.7% of 37.7=2.1489