145.35 is what percent of 1453.55 - 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 1453.55 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 1453.55, so we can write it down as 100%=1453.55.
4. We know, that x% equals 145.35 of the output value, so we can write it down as x%=145.35.
5. Now we have two simple equations:
1) 100%=1453.55
2) x%=145.35
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:
100%/x%=1453.55/145.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.35 is what percent of 1453.55

100%/x%=1453.55/145.35
(100/x)*x=(1453.55/145.35)*x       - we multiply both sides of the equation by x
100=10.000343997248*x       - we divide both sides of the equation by (10.000343997248) to get x
100/10.000343997248=x
9.999656014585=x
x=9.999656014585

now we have:
145.35 is 9.999656014585% of 1453.55