27.02 is what percent of 42.9 - 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 42.9 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 100% equals 42.9, so we can write it down as 100%=42.9.
4. We know, that x% equals 27.02 of the output value, so we can write it down as x%=27.02.
5. Now we have two simple equations:
1) 100%=42.9
2) x%=27.02
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%=42.9/27.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.02 is what percent of 42.9

100%/x%=42.9/27.02
(100/x)*x=(42.9/27.02)*x       - we multiply both sides of the equation by x
100=1.5877128053294*x       - we divide both sides of the equation by (1.5877128053294) to get x
100/1.5877128053294=x
62.983682983683=x
x=62.983682983683

now we have:
27.02 is 62.983682983683% of 42.9