4.2 is what percent of 3.7 - 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 3.7 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 3.7, so we can write it down as 100%=3.7.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=3.7
2) x%=4.2
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%=3.7/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 3.7

100%/x%=3.7/4.2
(100/x)*x=(3.7/4.2)*x       - we multiply both sides of the equation by x
100=0.88095238095238*x       - we divide both sides of the equation by (0.88095238095238) to get x
100/0.88095238095238=x
113.51351351351=x
x=113.51351351351

now we have:
4.2 is 113.51351351351% of 3.7