155.7 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 155.7 of the output value, so we can write it down as x%=155.7.
5. Now we have two simple equations:
1) 100%=100
2) x%=155.7
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%=100/155.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.7 is what percent of 100

100%/x%=100/155.7
(100/x)*x=(100/155.7)*x       - we multiply both sides of the equation by x
100=0.64226075786769*x       - we divide both sides of the equation by (0.64226075786769) to get x
100/0.64226075786769=x
155.7=x
x=155.7

now we have:
155.7 is 155.7% of 100