What is 368.742 percent of 8.742 - 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 8.742 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 8.742 is 100%, so we can write it down as 8.742=100%.
4. We know, that x is 368.742% of the output value, so we can write it down as x=368.742%.
5. Now we have two simple equations:
1) 8.742=100%
2) x=368.742%
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:
8.742/x=100%/368.742%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 368.742% of 8.742

8.742/x=100/368.742
(8.742/x)*x=(100/368.742)*x       - we multiply both sides of the equation by x
8.742=0.27119232417246*x       - we divide both sides of the equation by (0.27119232417246) to get x
8.742/0.27119232417246=x
32.23542564=x
x=32.23542564

now we have:
368.742% of 8.742=32.23542564