2.37 is what percent of 4.7 - 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 4.7 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 4.7, so we can write it down as 100%=4.7.
4. We know, that x% equals 2.37 of the output value, so we can write it down as x%=2.37.
5. Now we have two simple equations:
1) 100%=4.7
2) x%=2.37
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%=4.7/2.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.37 is what percent of 4.7

100%/x%=4.7/2.37
(100/x)*x=(4.7/2.37)*x       - we multiply both sides of the equation by x
100=1.9831223628692*x       - we divide both sides of the equation by (1.9831223628692) to get x
100/1.9831223628692=x
50.425531914894=x
x=50.425531914894

now we have:
2.37 is 50.425531914894% of 4.7