74.34 is what percent of 1040.82 - 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 1040.82 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 1040.82, so we can write it down as 100%=1040.82.
4. We know, that x% equals 74.34 of the output value, so we can write it down as x%=74.34.
5. Now we have two simple equations:
1) 100%=1040.82
2) x%=74.34
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%=1040.82/74.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.34 is what percent of 1040.82

100%/x%=1040.82/74.34
(100/x)*x=(1040.82/74.34)*x       - we multiply both sides of the equation by x
100=14.000807102502*x       - we divide both sides of the equation by (14.000807102502) to get x
100/14.000807102502=x
7.1424453796045=x
x=7.1424453796045

now we have:
74.34 is 7.1424453796045% of 1040.82