33.76 is what percent of 562.99 - 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 562.99 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 562.99, so we can write it down as 100%=562.99.
4. We know, that x% equals 33.76 of the output value, so we can write it down as x%=33.76.
5. Now we have two simple equations:
1) 100%=562.99
2) x%=33.76
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%=562.99/33.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.76 is what percent of 562.99

100%/x%=562.99/33.76
(100/x)*x=(562.99/33.76)*x       - we multiply both sides of the equation by x
100=16.676244075829*x       - we divide both sides of the equation by (16.676244075829) to get x
100/16.676244075829=x
5.9965541128617=x
x=5.9965541128617

now we have:
33.76 is 5.9965541128617% of 562.99