820.61 is what percent of 1367 - 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 1367 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 1367, so we can write it down as 100%=1367.
4. We know, that x% equals 820.61 of the output value, so we can write it down as x%=820.61.
5. Now we have two simple equations:
1) 100%=1367
2) x%=820.61
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%=1367/820.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 820.61 is what percent of 1367

100%/x%=1367/820.61
(100/x)*x=(1367/820.61)*x       - we multiply both sides of the equation by x
100=1.6658339527912*x       - we divide both sides of the equation by (1.6658339527912) to get x
100/1.6658339527912=x
60.029992684711=x
x=60.029992684711

now we have:
820.61 is 60.029992684711% of 1367