81.5 is what percent of 3370 - 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 3370 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 3370, so we can write it down as 100%=3370.
4. We know, that x% equals 81.5 of the output value, so we can write it down as x%=81.5.
5. Now we have two simple equations:
1) 100%=3370
2) x%=81.5
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%=3370/81.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.5 is what percent of 3370

100%/x%=3370/81.5
(100/x)*x=(3370/81.5)*x       - we multiply both sides of the equation by x
100=41.349693251534*x       - we divide both sides of the equation by (41.349693251534) to get x
100/41.349693251534=x
2.4183976261128=x
x=2.4183976261128

now we have:
81.5 is 2.4183976261128% of 3370