37.43 is what percent of 1428 - 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 1428 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 1428, so we can write it down as 100%=1428.
4. We know, that x% equals 37.43 of the output value, so we can write it down as x%=37.43.
5. Now we have two simple equations:
1) 100%=1428
2) x%=37.43
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%=1428/37.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.43 is what percent of 1428

100%/x%=1428/37.43
(100/x)*x=(1428/37.43)*x       - we multiply both sides of the equation by x
100=38.151215602458*x       - we divide both sides of the equation by (38.151215602458) to get x
100/38.151215602458=x
2.6211484593838=x
x=2.6211484593838

now we have:
37.43 is 2.6211484593838% of 1428