152.7 is what percent of 898.4 - 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 898.4 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 898.4, so we can write it down as 100%=898.4.
4. We know, that x% equals 152.7 of the output value, so we can write it down as x%=152.7.
5. Now we have two simple equations:
1) 100%=898.4
2) x%=152.7
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%=898.4/152.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.7 is what percent of 898.4

100%/x%=898.4/152.7
(100/x)*x=(898.4/152.7)*x       - we multiply both sides of the equation by x
100=5.8834315651604*x       - we divide both sides of the equation by (5.8834315651604) to get x
100/5.8834315651604=x
16.996883348175=x
x=16.996883348175

now we have:
152.7 is 16.996883348175% of 898.4