What is 460.35 percent of 1.45 - 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 1.45 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 1.45 is 100%, so we can write it down as 1.45=100%.
4. We know, that x is 460.35% of the output value, so we can write it down as x=460.35%.
5. Now we have two simple equations:
1) 1.45=100%
2) x=460.35%
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:
1.45/x=100%/460.35%
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 460.35% of 1.45

1.45/x=100/460.35
(1.45/x)*x=(100/460.35)*x       - we multiply both sides of the equation by x
1.45=0.21722602367764*x       - we divide both sides of the equation by (0.21722602367764) to get x
1.45/0.21722602367764=x
6.675075=x
x=6.675075

now we have:
460.35% of 1.45=6.675075