7.46 is what percent of 0.74 - 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 0.74 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 0.74, so we can write it down as 100%=0.74.
4. We know, that x% equals 7.46 of the output value, so we can write it down as x%=7.46.
5. Now we have two simple equations:
1) 100%=0.74
2) x%=7.46
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%=0.74/7.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.46 is what percent of 0.74

100%/x%=0.74/7.46
(100/x)*x=(0.74/7.46)*x       - we multiply both sides of the equation by x
100=0.099195710455764*x       - we divide both sides of the equation by (0.099195710455764) to get x
100/0.099195710455764=x
1008.1081081081=x
x=1008.1081081081

now we have:
7.46 is 1008.1081081081% of 0.74