What is 6.55 percent of 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 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 742 is 100%, so we can write it down as 742=100%.
4. We know, that x is 6.55% of the output value, so we can write it down as x=6.55%.
5. Now we have two simple equations:
1) 742=100%
2) x=6.55%
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:
742/x=100%/6.55%
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 6.55% of 742

742/x=100/6.55
(742/x)*x=(100/6.55)*x       - we multiply both sides of the equation by x
742=15.267175572519*x       - we divide both sides of the equation by (15.267175572519) to get x
742/15.267175572519=x
48.601=x
x=48.601

now we have:
6.55% of 742=48.601