145.56 is what percent of 2679 - 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 2679 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 2679, so we can write it down as 100%=2679.
4. We know, that x% equals 145.56 of the output value, so we can write it down as x%=145.56.
5. Now we have two simple equations:
1) 100%=2679
2) x%=145.56
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%=2679/145.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.56 is what percent of 2679

100%/x%=2679/145.56
(100/x)*x=(2679/145.56)*x       - we multiply both sides of the equation by x
100=18.404781533388*x       - we divide both sides of the equation by (18.404781533388) to get x
100/18.404781533388=x
5.4333706606943=x
x=5.4333706606943

now we have:
145.56 is 5.4333706606943% of 2679