135.7 is what percent of 162.6 - 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 162.6 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 162.6, so we can write it down as 100%=162.6.
4. We know, that x% equals 135.7 of the output value, so we can write it down as x%=135.7.
5. Now we have two simple equations:
1) 100%=162.6
2) x%=135.7
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%=162.6/135.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.7 is what percent of 162.6

100%/x%=162.6/135.7
(100/x)*x=(162.6/135.7)*x       - we multiply both sides of the equation by x
100=1.1982313927782*x       - we divide both sides of the equation by (1.1982313927782) to get x
100/1.1982313927782=x
83.456334563346=x
x=83.456334563346

now we have:
135.7 is 83.456334563346% of 162.6