26.7 is what percent of 33.3333333333 - 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 33.3333333333 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 33.3333333333, so we can write it down as 100%=33.3333333333.
4. We know, that x% equals 26.7 of the output value, so we can write it down as x%=26.7.
5. Now we have two simple equations:
1) 100%=33.3333333333
2) x%=26.7
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%=33.3333333333/26.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.7 is what percent of 33.3333333333

100%/x%=33.3333333333/26.7
(100/x)*x=(33.3333333333/26.7)*x       - we multiply both sides of the equation by x
100=1.24843945069*x       - we divide both sides of the equation by (1.24843945069) to get x
100/1.24843945069=x
80.1000000001=x
x=80.1000000001

now we have:
26.7 is 80.1000000001% of 33.3333333333