155.53 is what percent of 1023.62 - 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 1023.62 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 1023.62, so we can write it down as 100%=1023.62.
4. We know, that x% equals 155.53 of the output value, so we can write it down as x%=155.53.
5. Now we have two simple equations:
1) 100%=1023.62
2) x%=155.53
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%=1023.62/155.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.53 is what percent of 1023.62

100%/x%=1023.62/155.53
(100/x)*x=(1023.62/155.53)*x       - we multiply both sides of the equation by x
100=6.5814955314087*x       - we divide both sides of the equation by (6.5814955314087) to get x
100/6.5814955314087=x
15.194115003615=x
x=15.194115003615

now we have:
155.53 is 15.194115003615% of 1023.62