84 is what percent of 33.333333333 - 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 33.333333333 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 33.333333333, so we can write it down as 100%=33.333333333.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=33.333333333
2) x%=84
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%=33.333333333/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 33.333333333

100%/x%=33.333333333/84
(100/x)*x=(33.333333333/84)*x       - we multiply both sides of the equation by x
100=0.39682539682143*x       - we divide both sides of the equation by (0.39682539682143) to get x
100/0.39682539682143=x
252.00000000252=x
x=252.00000000252

now we have:
84 is 252.00000000252% of 33.333333333