42.79 is what percent of 1589.59 - 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 1589.59 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 1589.59, so we can write it down as 100%=1589.59.
4. We know, that x% equals 42.79 of the output value, so we can write it down as x%=42.79.
5. Now we have two simple equations:
1) 100%=1589.59
2) x%=42.79
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%=1589.59/42.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.79 is what percent of 1589.59

100%/x%=1589.59/42.79
(100/x)*x=(1589.59/42.79)*x       - we multiply both sides of the equation by x
100=37.148632858144*x       - we divide both sides of the equation by (37.148632858144) to get x
100/37.148632858144=x
2.6918891034795=x
x=2.6918891034795

now we have:
42.79 is 2.6918891034795% of 1589.59