42.06 is what percent of 701.08 - 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 701.08 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 701.08, so we can write it down as 100%=701.08.
4. We know, that x% equals 42.06 of the output value, so we can write it down as x%=42.06.
5. Now we have two simple equations:
1) 100%=701.08
2) x%=42.06
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%=701.08/42.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.06 is what percent of 701.08

100%/x%=701.08/42.06
(100/x)*x=(701.08/42.06)*x       - we multiply both sides of the equation by x
100=16.668568711365*x       - we divide both sides of the equation by (16.668568711365) to get x
100/16.668568711365=x
5.9993153420437=x
x=5.9993153420437

now we have:
42.06 is 5.9993153420437% of 701.08