42 is what percent of 7390 - 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 7390 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 7390, so we can write it down as 100%=7390.
4. We know, that x% equals 42 of the output value, so we can write it down as x%=42.
5. Now we have two simple equations:
1) 100%=7390
2) x%=42
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%=7390/42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42 is what percent of 7390

100%/x%=7390/42
(100/x)*x=(7390/42)*x       - we multiply both sides of the equation by x
100=175.95238095238*x       - we divide both sides of the equation by (175.95238095238) to get x
100/175.95238095238=x
0.56833558863329=x
x=0.56833558863329

now we have:
42 is 0.56833558863329% of 7390