156.4 is what percent of 157.6 - 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 157.6 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 157.6, so we can write it down as 100%=157.6.
4. We know, that x% equals 156.4 of the output value, so we can write it down as x%=156.4.
5. Now we have two simple equations:
1) 100%=157.6
2) x%=156.4
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%=157.6/156.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.4 is what percent of 157.6

100%/x%=157.6/156.4
(100/x)*x=(157.6/156.4)*x       - we multiply both sides of the equation by x
100=1.0076726342711*x       - we divide both sides of the equation by (1.0076726342711) to get x
100/1.0076726342711=x
99.238578680203=x
x=99.238578680203

now we have:
156.4 is 99.238578680203% of 157.6