What is 2.554 percent of 74.9 - 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 74.9 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 74.9 is 100%, so we can write it down as 74.9=100%.
4. We know, that x is 2.554% of the output value, so we can write it down as x=2.554%.
5. Now we have two simple equations:
1) 74.9=100%
2) x=2.554%
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:
74.9/x=100%/2.554%
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 2.554% of 74.9

74.9/x=100/2.554
(74.9/x)*x=(100/2.554)*x       - we multiply both sides of the equation by x
74.9=39.154267815192*x       - we divide both sides of the equation by (39.154267815192) to get x
74.9/39.154267815192=x
1.912946=x
x=1.912946

now we have:
2.554% of 74.9=1.912946