45.21 is what percent of 136.91 - 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 136.91 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 136.91, so we can write it down as 100%=136.91.
4. We know, that x% equals 45.21 of the output value, so we can write it down as x%=45.21.
5. Now we have two simple equations:
1) 100%=136.91
2) x%=45.21
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%=136.91/45.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.21 is what percent of 136.91

100%/x%=136.91/45.21
(100/x)*x=(136.91/45.21)*x       - we multiply both sides of the equation by x
100=3.0283123202831*x       - we divide both sides of the equation by (3.0283123202831) to get x
100/3.0283123202831=x
33.021693083047=x
x=33.021693083047

now we have:
45.21 is 33.021693083047% of 136.91