133.4 is what percent of 136.6 - 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 136.6 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 136.6, so we can write it down as 100%=136.6.
4. We know, that x% equals 133.4 of the output value, so we can write it down as x%=133.4.
5. Now we have two simple equations:
1) 100%=136.6
2) x%=133.4
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%=136.6/133.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 133.4 is what percent of 136.6

100%/x%=136.6/133.4
(100/x)*x=(136.6/133.4)*x       - we multiply both sides of the equation by x
100=1.023988005997*x       - we divide both sides of the equation by (1.023988005997) to get x
100/1.023988005997=x
97.657393850659=x
x=97.657393850659

now we have:
133.4 is 97.657393850659% of 136.6