74.13 is what percent of 8.4 - 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 8.4 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 8.4, so we can write it down as 100%=8.4.
4. We know, that x% equals 74.13 of the output value, so we can write it down as x%=74.13.
5. Now we have two simple equations:
1) 100%=8.4
2) x%=74.13
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%=8.4/74.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.13 is what percent of 8.4

100%/x%=8.4/74.13
(100/x)*x=(8.4/74.13)*x       - we multiply both sides of the equation by x
100=0.11331444759207*x       - we divide both sides of the equation by (0.11331444759207) to get x
100/0.11331444759207=x
882.5=x
x=882.5

now we have:
74.13 is 882.5% of 8.4