8.43 is what percent of 37.74 - 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 37.74 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 37.74, so we can write it down as 100%=37.74.
4. We know, that x% equals 8.43 of the output value, so we can write it down as x%=8.43.
5. Now we have two simple equations:
1) 100%=37.74
2) x%=8.43
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%=37.74/8.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.43 is what percent of 37.74

100%/x%=37.74/8.43
(100/x)*x=(37.74/8.43)*x       - we multiply both sides of the equation by x
100=4.4768683274021*x       - we divide both sides of the equation by (4.4768683274021) to get x
100/4.4768683274021=x
22.337042925278=x
x=22.337042925278

now we have:
8.43 is 22.337042925278% of 37.74